The Special Product Formula for the "square of a sum" is (A + B)? = . So (2x + 3)2 =

Q: The Special Product Formula for the "product of the sum and difference of terms" is (A B)(A - B) So…

A: To fill the blank in the statement, " The special product formula for the 'product of the sum and…

Q: Find the last term to make the trinomial into a perfect square: x2 + 8x + When this is factored, it…

A: If we have to find the last term of the equation  , then compare the equation with this general…

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

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Q: 2. Complete the square on the given expression. x² + 6x – 7 =

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Q: (a) The sum of the squares of 6 and 7

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Q: Suppose a rectangle has a perimeter of 60 cm. If the rectangle as a length of 16 cm, what is its…

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Q: A student is trying to use long division (at the right) to solve the following (3x³ – 4x? – x + 1) +…

A: To find: The second quotient term while dividing (3x3-4x2 –x+1) by divisor (x+1), using long…

Q: A cubed - shaped box has a volume of 27in^3.If the size of the box is increased, the volume, in…

A: The volume of cube = 27 in3 New volume = x+27 where x = 30 New volume = 30+27 = 57 in3

Q: Find the last term to make the trinomial into a perfect square: 6x + - When this is factored, it…

A: For trinomial term ax2+bx+__, to make it perfect square last term should be c=(Middle term)24(First…

Q: he the square of a binomial 3: Find the product of (3x + 4)²

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Q: The Special Factoring Formula for the “difference of squares”is A2  B2  . So 4x2  25 factors as.

A: We need to find the formula for the difference of squares and then solve the expression 4x2-25 as…

Q: Factor Completely: 5) 6x – 24x 6) 2a? + 16a + 24 7) 81x - 1 8) 4x – 4x2 – 24x

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Q: A rectangular poster has dimensions (2x-1) by (3x+2). Two congruent squares are cut out of the…

A: Let length of one side of rectangle be (2x-1) and length of other side be (3x+2). Two congruent…

Q: Find the constant term in the expansion of (2x4 +4/x)20

A: The expansion of the given subject can be obtained by the binomial theorem, as follows,(a + b)n=∑r…

Q: Factor 23 + 6a? — 9х — 54 сompletely. 23 + 6x? – 9x – 54 =

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Q: (4х + 1)(4х — 1) (4х — Зу)2 (Зh — 2g)3

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Q: What are the following? Difference of Two Squares, Perfect Square Trinomial, Sum/Difference of Two…

A: Difference of Two Squares: a2 - b2 Perfect Square Trinomial: (a + b)2 Sum of Two Cubes: a3 + b3…

Q: at are the 2 factors that get you square (24+10i)

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Q: Find the last term to make the trinomial into a perfect square x + 3x + When this is factored, it…

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Q: Simplify the ratio of factorials. (8n - 1)! (8n + 1)!

A: Given            8n-1!8n+1!

Q: Solve by applying the zero product property. n^2=8-7n

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Q: whats the length and the width of a rectangle with the area of 3n^2-8n+4

A: we have given the area of the rectangle. we have to find the length and width of the rectangle. for…

Q: The following are the product of the sum and difference of two terms EXCEPT? a. a- 25b? b. 16a - 9b2…

A: Given information:- The following are the product of the sum and difference of two terms EXCEPT? a.…

Q: Factor completely. n? - 8n + 12 x + 6x - 40 n + 6n + 5 x - 4x - 45

A: x2-8x+12=0x2-6x-2x+12=0x(x-6)-2(x-6)=0(x-6)(x-2)=0⇒x-6=0 or x-2=0⇒x=6 or x=2

Q: When using the FOIL method to find (x + 7)(3x + 5),the product of the first terms is_________ , the…

A: FOIL stands for First Outer Inner Last

Q: Find the last term to make the trinomial into a perfect square: x2 + 3 When this is factored, it…

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Q: 3. Factor each of the following quadratic expressions completely using the method of grouping: (a)…

A: Solution:  Here. a) 102+6x+35x+21

Q: Use the technique of completing the square to express each trinomial as the square of a binomial. 2r…

A: Given that by using the technique of completing the square to express 2x2 -8x +3 as the square of a…

Q: Rewrite this expression as the product of its greatest common factor and a polynomia 20y- 10ry +…

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Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

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Q: Find the sum of the coefficients of ( 3x + 2y -2)⁸.

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Q: Is each of the following a perfect square trinomial? Yes No x + 10x + 25 x + 25x + 25| 0 x + 7x + 49…

A: The answer is found in step-2

Q: To find x“ you have to find the square root of 21 x = ± v21 ~ ±4.5286

A: from the given

Q: Which of the following trinomials can be factored into the perfect square (6x - 6)2?

A: Recall:  (a-b)2=a2-2ab+b2 We have, a=6x, b=6

Q: The Special Product Formula for the “square of a sum” is1A  B22  . So 1 2x  3 22  .

A: We have to fill in the blanks: The special product formula for the "square of a sum" is A+B2=----.…

Q: Which of the following trinomials can be factored into the perfect square (7x- 10)2? O 49x2 - 140x -…

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Q: of Find [lo9.(x²+1)|

A: Here, the objective is to evaluate the given differentiation.

Q: 4. Use the Zero Product Property to solve for æ. a. (æ + 13)(a - 7) = 0 b. (2x + 3)(3x – 7) = 0 c.…

A: a) (x+13)(x-7)=0b) (2x+3)(3x-7)=0c) x(x-3)=0 Note:   Multiple sub parts are given, we are answered…

Q: 15. The area of a square sign is 16x - 40x + 25. What is the side length of the square. (hint use…

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Q: (b) Find the value of ? in factored form: 4. [3/ (x - 4)] = [((3x + 36) / ?] 5. [4/ (2x + 5)] = [? /…

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Q: Find the area of the rectangle below. 3x-4 Зx - 5 O a 9x2 - 27x +20 O b 6x2 -9 Oc 12x 18 - Od 9x2…

A: Correct option (a) 9x2-27x+20

Q: How do I express (x+1)squared as a trinomial in standard form?

A: The general form of trinomials with a leading coefficient of a is ax2 + bx + c.

Q: What is a difference of squares that has a factor of x+8? O x²-4 O x²-16

A: As we know x2-y2=(x+y)(x-y)

Q: The Special Product Formula for the "square of a sum" is (A + B} = So (2x + 3) =

A:

Q: The Special Factoring Formula for the "difference of squares" is A? - B = So 4x - 25 factors as

A: The product of the sum and difference of the same two terms is the square of the first term minus…

Q: Find the square root of the product of (3+ j4) and (2+ j8)

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Q: Find the square of the​ binomial:   3m+2

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Q: The Special Factoring Formula for a "perfect square" is A + 2AB + B = . So x² + 10x + 25 factors as

A: Given: A2+2AB+B2=?x2+10x+25=?

Q: d Question 2. Use the Product Rule to calculate (5x³ +2x²)· (1 + ). Do not simplify.

A: given     d/dx ( (5x³+2x²).(1+3/x)) We have to use product rule