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12th Edition

Dale Ewen

Publisher: Cengage Learning

ISBN: 9781337630580

Chapter 10, Problem 28R

Textbook Problem

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Factor each expression completely:

To determine

**To calculate:** The complete factor of the expression

**Given Information:**

The expression is

**Formula used:**

The difference of square:

**Calculation:**

Consider the provided expression

Since

When the expression is the difference of squares then its factors are the sum of the square root and the difference of square root.

The square root of the first term is 5*x* and the square root of the last term is 9*y*

Elementary Technical Mathematics

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Ch. 10.1 - Factor: 4a+4Ch. 10.1 - Factor: 3x6Ch. 10.1 - Factor: bx+byCh. 10.1 - Factor: 918yCh. 10.1 - Factor: 15b20Ch. 10.1 - Factor: 12ab+30acCh. 10.1 - Factor: x27xCh. 10.1 - Factor: 3x26xCh. 10.1 - Factor: a24aCh. 10.1 - Factor: 7xy21y

Ch. 10.1 - Factor: 4n28nCh. 10.1 - Factor: 10x2+5xCh. 10.1 - Factor: 10x2+25xCh. 10.1 - Factor: y28yCh. 10.1 - Factor: 3r26rCh. 10.1 - Factor: x3+13x2+25xCh. 10.1 - Factor: 4x4+8x3+12x2Ch. 10.1 - Factor: 9x415x218xCh. 10.1 - Factor: 9a29ax2Ch. 10.1 - Factor: aa3Ch. 10.1 - Factor: 10x+10y10zCh. 10.1 - Factor: 2x22xCh. 10.1 - Factor: 3y6Ch. 10.1 - Factor: y3y2Ch. 10.1 - Factor: 14xy7x2y2Ch. 10.1 - Factor: 25a225b2Ch. 10.1 - Factor: 12x2m7mCh. 10.1 - Factor: 90r210R2Ch. 10.1 - Factor: 60ax12aCh. 10.1 - Factor: 2x2100x3Ch. 10.1 - Factor: 52m2n213mnCh. 10.1 - Factor: 40x8x3+4x4Ch. 10.1 - Factor: 52m214m+2Ch. 10.1 - Factor: 27x354xCh. 10.1 - Factor: 36y218y3+54y4Ch. 10.1 - Factor: 20y310y2+5yCh. 10.1 - Factor: 6m612m2+3mCh. 10.1 - Factor: 16x332x216xCh. 10.1 - Factor: 4x2y36x2y410x2y5Ch. 10.1 - Factor: 18x3y30x4y+48xyCh. 10.1 - Factor: 3a2b2c2+27a3b3c381abcCh. 10.1 - Factor: 15x2yz420x3y2z2+25x2y3z2Ch. 10.1 - Factor: 4x3z48x2y2z3+12xyz2Ch. 10.1 - Factor: 18a2b2c2+24ab2c230a2c2Ch. 10.2 - Find each product mentally: (x+5)(x+2)Ch. 10.2 - Find each product mentally: (x+3)(2x+7)Ch. 10.2 - Find each product mentally: (2x+3)(3x+4)Ch. 10.2 - Find each product mentally: (x+3)(x+18)Ch. 10.2 - Find each product mentally: (x5)(x6)Ch. 10.2 - Find each product mentally: (x9)(x8)Ch. 10.2 - Find each product mentally: (x12)(x2)Ch. 10.2 - Find each product mentally: (x9)(x4)Ch. 10.2 - Find each product mentally: (x+8)(2x+3)Ch. 10.2 - Find each product mentally: (3x7)(2x5)Ch. 10.2 - Find each product mentally: (x+6)(x2)Ch. 10.2 - Find each product mentally: (x7)(x3)Ch. 10.2 - Find each product mentally: (x9)(x10)Ch. 10.2 - Find each product mentally: (x9)(x+10)Ch. 10.2 - Find each product mentally: (x12)(x+6)Ch. 10.2 - Find each product mentally: (2x+7)(4x5)Ch. 10.2 - Find each product mentally: (2x7)(4x+5)Ch. 10.2 - Find each product mentally: (2x5)(4x+7)Ch. 10.2 - Find each product mentally: (2x+5)(4x7)Ch. 10.2 - Find each product mentally: (6x+5)(5x1)Ch. 10.2 - Find each product mentally: (7x+3)(2x+5)Ch. 10.2 - Find each product mentally: (5x7)(2x+1)Ch. 10.2 - Find each product mentally: (x9)(3x+8)Ch. 10.2 - Find each product mentally: (x8)(2x+9)Ch. 10.2 - Find each product mentally: (6x+5)(x+7)Ch. 10.2 - Find each product mentally: (16x+3)(x1)Ch. 10.2 - Find each product mentally: (13x4)(13x4)Ch. 10.2 - Find each product mentally: (12x+1)(12x+5)Ch. 10.2 - Find each product mentally: (10x+7)(12x3)Ch. 10.2 - Find each product mentally: (10x7)(12x+3)Ch. 10.2 - Find each product mentally: (10x7)(10x3)Ch. 10.2 - Find each product mentally: (10x+7)(10x+3)Ch. 10.2 - Find each product mentally: (2x3)(2x5)Ch. 10.2 - Find each product mentally: (2x+3)(2x+5)Ch. 10.2 - Find each product mentally: (2x3)(2x+5)Ch. 10.2 - Find each product mentally: (2x+3)(2x5)Ch. 10.2 - Find each product mentally: (3x8)(2x+7)Ch. 10.2 - Find each product mentally: (3x+8)(2x7)Ch. 10.2 - Find each product mentally: (3x+8)(2x+7)Ch. 10.2 - Find each product mentally: (3x8)(2x7)Ch. 10.2 - Find each product mentally: (8x5)(2x+3)Ch. 10.2 - Find each product mentally: (x7)(x+5)Ch. 10.2 - Find each product mentally: (y7)(2y+3)Ch. 10.2 - Find each product mentally: (m9)(m+2)Ch. 10.2 - Find each product mentally: (3n6y)(2n+5y)Ch. 10.2 - Find each product mentally: (6ab)(2a+3b)Ch. 10.2 - Find each product mentally: (4xy)(2x+7y)Ch. 10.2 - Find each product mentally: (8x12)(2x+3)Ch. 10.2 - Find each product mentally: (12x8)(14x6)Ch. 10.2 - Find each product mentally: (23x6)(13x+9)Ch. 10.3 - Factor each trinomial completely: x2+6x+8Ch. 10.3 - Factor each trinomial completely: x2+8x+15Ch. 10.3 - Factor each trinomial completely: y2+9y+20Ch. 10.3 - Factor each trinomial completely: 2w2+20w+32Ch. 10.3 - Factor each trinomial completely: 3r2+30r+75Ch. 10.3 - Factor each trinomial completely: a2+14a+24Ch. 10.3 - Factor each trinomial completely: b2+11b+30Ch. 10.3 - Factor each trinomial completely: c2+21c+54Ch. 10.3 - Factor each trinomial completely: x2+17x+72Ch. 10.3 - Factor each trinomial completely: y2+18y+81Ch. 10.3 - Factor each trinomial completely: 5a2+35a+60Ch. 10.3 - Factor each trinomial completely: r2+12r+27Ch. 10.3 - Factor each trinomial completely: x27x+12Ch. 10.3 - Factor each trinomial completely: y26y+9Ch. 10.3 - Factor each trinomial completely: 2a218a+28Ch. 10.3 - Factor each trinomial completely: c29c+18Ch. 10.3 - Factor each trinomial completely: 3x230x+63Ch. 10.3 - Factor each trinomial completely: r212r+35Ch. 10.3 - Factor each trinomial completely: w213w+42Ch. 10.3 - Factor each trinomial completely: x214x+49Ch. 10.3 - Factor each trinomial completely: x219x+90Ch. 10.3 - Factor each trinomial completely: 4x284x+80Ch. 10.3 - Factor each trinomial completely: t212t+20Ch. 10.3 - Factor each trinomial completely: b215b+54Ch. 10.3 - Factor each trinomial completely: x2+2x8Ch. 10.3 - Factor each trinomial completely: x22x15Ch. 10.3 - Factor each trinomial completely: y2+y20Ch. 10.3 - Factor each trinomial completely: 2w212w32Ch. 10.3 - Factor each trinomial completely: a2+5a24Ch. 10.3 - Factor each trinomial completely: b2+b30Ch. 10.3 - Factor each trinomial completely: c215c54Ch. 10.3 - Factor each trinomial completely: b26b72Ch. 10.3 - Factor each trinomial completely: 3x23x36Ch. 10.3 - Factor each trinomial completely: a2+5a14Ch. 10.3 - Factor each trinomial completely: c2+3c18Ch. 10.3 - Factor each trinomial completely: x24x21Ch. 10.3 - Factor each trinomial completely: y2+17y+42Ch. 10.3 - Factor each trinomial completely: m218m+72Ch. 10.3 - Factor each trinomial completely: r22r35Ch. 10.3 - Factor each trinomial completely: x2+11x42Ch. 10.3 - Factor each trinomial completely: m222m+40Ch. 10.3 - Factor each trinomial completely: y2+17y+70Ch. 10.3 - Factor each trinomial completely: x29x90Ch. 10.3 - Factor each trinomial completely: x28x+15Ch. 10.3 - Factor each trinomial completely: a2+27a+92Ch. 10.3 - Factor each trinomial completely: x2+17x110Ch. 10.3 - Factor each trinomial completely: 2a212a110Ch. 10.3 - Factor each trinomial completely: y214y+40Ch. 10.3 - Factor each trinomial completely: a2+29a+100Ch. 10.3 - Factor each trinomial completely: y2+14y120Ch. 10.3 - Factor each trinomial completely: y214y95Ch. 10.3 - Factor each trinomial completely: b2+20b+36Ch. 10.3 - Factor each trinomial completely: y218y+32Ch. 10.3 - Factor each trinomial completely: x28x128Ch. 10.3 - Factor each trinomial completely: 7x2+7x14Ch. 10.3 - Factor each trinomial completely: 2x26x36Ch. 10.3 - Factor each trinomial completely: 6x2+12x6Ch. 10.3 - Factor each trinomial completely: 4x2+16x+16Ch. 10.3 - Factor each trinomial completely: y212y+35Ch. 10.3 - Factor each trinomial completely: a2+16a+63Ch. 10.3 - Factor each trinomial completely: a2+2a63Ch. 10.3 - Factor each trinomial completely: y2y42Ch. 10.3 - Factor each trinomial completely: x2+18x+56Ch. 10.3 - Factor each trinomial completely: x2+11x26Ch. 10.3 - Factor each trinomial completely: 2y236y+90Ch. 10.3 - Factor each trinomial completely: ax2+2ax+aCh. 10.3 - Factor each trinomial completely: 3xy218xy+27xCh. 10.3 - Factor each trinomial completely: x3x2156xCh. 10.3 - Factor each trinomial completely: x2+30x+225Ch. 10.3 - Factor each trinomial completely: x22x360Ch. 10.3 - Factor each trinomial completely: x226x+153Ch. 10.3 - Factor each trinomial completely: x2+8x384Ch. 10.3 - Factor each trinomial completely: x2+28x+192Ch. 10.3 - Factor each trinomial completely: x2+3x154Ch. 10.3 - Factor each trinomial completely: x2+14x176Ch. 10.3 - Factor each trinomial completely: x259x+798Ch. 10.3 - Factor each trinomial completely: 2a2b+4ab48bCh. 10.3 - Factor each trinomial completely: ax215ax+44aCh. 10.3 - Factor each trinomial completely: y2y72Ch. 10.3 - Factor each trinomial completely: x2+19x+60Ch. 10.4 - Find each product: (x+3)(x3)Ch. 10.4 - Find each product: (x+3)2Ch. 10.4 - Find each product: (a+5)(a5)Ch. 10.4 - Find each product: (y2+9)(y29)Ch. 10.4 - Find each product: (2b+11)(2b11)Ch. 10.4 - Find each product: (x6)2Ch. 10.4 - Find each product: (100+3)(1003)Ch. 10.4 - Find each product: (90+2)(902)Ch. 10.4 - Find each product: (3y2+14)(3y214)Ch. 10.4 - Find each product: (y+8)2Ch. 10.4 - Find each product: (r12)2Ch. 10.4 - Find each product: (t+10)2Ch. 10.4 - Find each product: (4y+5)(4y5)Ch. 10.4 - Find each product: (200+5)(2005)Ch. 10.4 - Find each product: (xy4)2Ch. 10.4 - Find each product: (x2+y)(x2y)Ch. 10.4 - Find each product: (ab+d)2Ch. 10.4 - Find each product: (ab+c)(abc)Ch. 10.4 - Find each product: (z11)2Ch. 10.4 - Find each product: (x3+8)(x38)Ch. 10.4 - Find each product: (st7)2Ch. 10.4 - Find each product: (w+14)(w14)Ch. 10.4 - Find each product: (x+y2)(xy2)Ch. 10.4 - Find each product: (1x)2Ch. 10.4 - Find each product: (x+5)2Ch. 10.4 - Find each product: (x6)2Ch. 10.4 - Find each product: (x+7)(x7)Ch. 10.4 - Find each product: (y12)(y+12)Ch. 10.4 - Find each product: (x3)2Ch. 10.4 - Find each product: (x+4)2Ch. 10.4 - Find each product: (ab+2)(ab2)Ch. 10.4 - Find each product: (m3)(m+3)Ch. 10.4 - Find each product: (x2+2)(x22)Ch. 10.4 - Find each product: (m+15)(m15)Ch. 10.4 - Find each product: (r15)2Ch. 10.4 - Find each product: (t+7a)2Ch. 10.4 - Find each product: (y35)2Ch. 10.4 - Find each product: (4x2)2Ch. 10.4 - Find each product: (10x)(10+x)Ch. 10.4 - Find each product: (ay23)(ay2+3)Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.5 - Factor completely. Check by multiplying the...Ch. 10.6 - Factor completely: 5x22812Ch. 10.6 - Factor completely: 4x24x3Ch. 10.6 - Factor completely: 10x229x+21Ch. 10.6 - Factor completely: 4x2+4x+1Ch. 10.6 - Factor completely: 12x228x+15Ch. 10.6 - Factor completely: 9x236x+32Ch. 10.6 - Factor completely: 8x2+26x45Ch. 10.6 - Factor completely: 4x2+15x4Ch. 10.6 - Factor completely: 16x211x5Ch. 10.6 - Factor completely: 6x2+3x3Ch. 10.6 - Factor completely: 12x216x16Ch. 10.6 - Factor completely: 10x235x+15Ch. 10.6 - Factor completely: 15y2y6Ch. 10.6 - Factor completely: 6y2+y2Ch. 10.6 - Factor completely: 8m210m3Ch. 10.6 - Factor completely: 2m27m30Ch. 10.6 - Factor completely: 35a22a1Ch. 10.6 - Factor completely: 12a228a+15Ch. 10.6 - Factor completely: 16y28y+1Ch. 10.6 - Factor completely: 25y2+20y+4Ch. 10.6 - Factor completely: 3x2+20x63Ch. 10.6 - Factor completely: 4x2+7x15Ch. 10.6 - Factor completely: 12b2+5b2Ch. 10.6 - Factor completely: 10b27b12Ch. 10.6 - Factor completely: 15y214y8Ch. 10.6 - Factor completely: 5y2+11y+2Ch. 10.6 - Factor completely: 90+17c3c2Ch. 10.6 - Factor completely: 10x2x2Ch. 10.6 - Factor completely: 6x213x+5Ch. 10.6 - Factor completely: 56229x+3Ch. 10.6 - Factor completely: 2y4+9y235Ch. 10.6 - Factor completely: 2y2+7y99Ch. 10.6 - Factor completely: 4b2+52b+169Ch. 10.6 - Factor completely: 6x219x+15Ch. 10.6 - Factor completely: 14x251x+40Ch. 10.6 - Factor completely: 42x413x240Ch. 10.6 - Factor completely: 28x3+140x2+175xCh. 10.6 - Factor completely: 24x354x221xCh. 10.6 - Factor completely: 10ab215ab175aCh. 10.6 - Factor completely: 40bx272bx70bCh. 10 - Find each product mentally: (c+d)(cd)Ch. 10 - Find each product mentally: (x6)(x+6)Ch. 10 - Find each product mentally: (y+7)(y4)Ch. 10 - Find each product mentally: (2x+5)(2x9)Ch. 10 - Find each product mentally: (x+8)(x3)Ch. 10 - Find each product mentally: (x4)(x9)Ch. 10 - Find each product mentally: (x3)2Ch. 10 - Find each product mentally: (2x6)2Ch. 10 - Find each product mentally: (15x2)2Ch. 10 - Factor each expression completely: 6a+6Ch. 10 - Factor each expression completely: 5x15Ch. 10 - Factor each expression completely: xy+2xzCh. 10 - Factor each expression completely: y4+17y318y2Ch. 10 - Factor each expression completely: y26y7Ch. 10 - Factor each expression completely: z2+18z+81Ch. 10 - Factor each expression completely: x2+10x+16Ch. 10 - Factor each expression completely: 4a2+4x2Ch. 10 - Factor each expression completely: x217x+72Ch. 10 - Factor each expression completely: x218x+81Ch. 10 - Factor each expression completely: x2+19x+60Ch. 10 - Factor each expression completely: y22y+1Ch. 10 - Factor each expression completely: x23x28Ch. 10 - Factor each expression completely: x24x96Ch. 10 - Factor each expression completely: x2+x110Ch. 10 - Factor each expression completely: x249Ch. 10 - Factor each expression completely: 16y29x2Ch. 10 - Factor each expression completely: x2144Ch. 10 - Factor each expression completely: 25x281y2Ch. 10 - Factor each expression completely: 4x224x364Ch. 10 - Factor each expression completely: 5x25x780Ch. 10 - Factor each expression completely: 2x2+11x+14Ch. 10 - Factor each expression completely: 12x219x+4Ch. 10 - Factor each expression completely: 30x2+7x15Ch. 10 - Factor each expression completely: 12x2+143x12Ch. 10 - Factor each expression completely: 4x26x+2Ch. 10 - Factor each expression completely: 36x249y2Ch. 10 - Factor each expression completely: 28x2+82x+30Ch. 10 - Factor each expression completely: 30x227x21Ch. 10 - Factor each expression completely: 4x34xCh. 10 - Factor each expression completely: 25y2100Ch. 10 - Find each product mentally: (x+8)(x3)Ch. 10 - Find each product mentally: (2x8)(5x6)Ch. 10 - Find each product mentally: (2x8)(2x+8)Ch. 10 - Find each product mentally: (3x5)2Ch. 10 - Find each product mentally: (4x7)(2x+3)Ch. 10 - Find each product mentally: (9x7)(5x+4)Ch. 10 - Factor each expression completely: x2+4x+3Ch. 10 - Factor each expression completely: x212x+35Ch. 10 - Factor each expression completely: 6x27x90Ch. 10 - Factor each expression completely: 9x2+24x+16Ch. 10 - Factor each expression completely: x2+7x18Ch. 10 - Factor each expression completely: 4x225Ch. 10 - Factor each expression completely: 6x2+13x+6Ch. 10 - Factor each expression completely: 3x2y218x2y+27x2Ch. 10 - Factor each expression completely: 3x211x4Ch. 10 - Factor each expression completely: 15x219x10Ch. 10 - Factor each expression completely: 5x2+7x6Ch. 10 - Factor each expression completely: 3x23x6Ch. 10 - Factor each expression completely: 9x2121Ch. 10 - Factor each expression completely: 9x230x+25Ch. 10 - Perform the indicated operations and simplify:...Ch. 10 - Round 746.83 to the a. nearest tenth and b....Ch. 10 - Do as indicated and simplify: 2315+23Ch. 10 - Write 0.000318 in a. scientific notation and b....Ch. 10 - Change 625 g to kg.Ch. 10 - Change 7 m2 to ft2.Ch. 10 - Read the voltmeter scale in Illustration 1....Ch. 10 - Use the rules of measurement to multiply:...Ch. 10 - Combine like terms and simplify: 3(x2)4(23x)Ch. 10 - Combine like terms and simplify: (6a3b+2c)(2a3b+c)Ch. 10 - Solve: x34=2x5Ch. 10 - A rectangle is 5 m longer than it is wide. Its...Ch. 10 - Solve the proportion and round the result to three...Ch. 10 - A pulley is 18 in. in diameter, is rotating at 125...Ch. 10 - Complete the ordered-pair solutions of the...Ch. 10 - Solve for y: 3xy=5Ch. 10 - Draw the graph of 3x+4y=24Ch. 10 - Draw the graphs of 2xy=4 and x+3y=5. Find the...Ch. 10 - Solve each pair of linear equation:...Ch. 10 - Solve each pair of linear equation: y=3x5x+3y=8Ch. 10 - Solve each pair of linear equation: xy=63x+y=2Ch. 10 - Solve each pair of linear equation: xy=63x+y=2Ch. 10 - Solve each pair of linear equation:...Ch. 10 - Two rental automobiles were leased for a total of...Ch. 10 - Find each product mentally: (2x5)(3x+8)Ch. 10 - Find each product mentally: (5x7y)2Ch. 10 - Find each product mentally: (3x5)(5x7)Ch. 10 - Factor each expression completely: 7x363xCh. 10 - Factor each expression completely: 4x3+12x2Ch. 10 - Factor each expression completely: 2x27x4

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Multivariable Calculus

A definite integral for the area under the curve described by x = t2 + 1, y = 2t, 0 t 1 is: a) 01(2t3+2t)dt b...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th