2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

Q: Prove that the difference of squares of any two odd numbers is multiple of 8. (SOlve this task…

A: To proveDifference of squares of any two odd numbers is multiple of 8.

Q: Find § 6-42 (Z+3) by Residue Theorm.

A: We have to evaluate the integral ∫ 6-4zz2z+3dz using the residue theorem. For this, we have to find…

Q: (4) Use standard multiplication to multiply the two sexigesimal numbers 11, 4; 17, 9 and 50, 50: 43,…

A:

Q: 7) Express as a product in simplest form: 4y/10x y3 - 2x/6xy

A: The given expression can be written as:  4y10x5y2.2x6xy The simplified form will be: ⇒8xy10x5y2.6xy⇒…

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when…

A: Let x be the required number. The number is divisible by 3, so it leaves the remainder 0 when it is…

Q: Suppose N = Fox F₁x F2, where the three factors are pairwise prime; hence, each factor and the…

A:

Q: In the expansion of (3x + 2y) °, the term 90, 72028 yl2 is the 4th term 5th term O 7th term O 6th…

A:

Q: In a town with two districts A and B an administrative committee of 7 people is to be formed. There…

A: Given:  In district A, there are 204 eligible candidates…

Q: how do you find "In (5/2) " on a calcualtor

A: To find ln(5/2)

Q: Which term of the expansion of (x° + 7) contains x 28 ,36 Term number contains æ36

A:

Q: Compute for 4+ 3X {(-2,-1,0} (X)+ X²I{1,2,3}(X)

A:

Q: Write the fourth term of the expansion of (2x+ 3y)°.

A: We can get desired result by two ways. One is by opening binomial expansion then getting fourth…

Q: A building has 13 smaller units of identical dimensions of rectangular shape and 5 larger units…

A: Given that,1. A building has 13 identical rectangular units and 5 identical square units. 2. Square…

Q: Suppose you must use 1x“-tile and 10 x-tiles. You only have up to 15 1-til use. How many of the…

A: Introduction: A rectangle is a quadrilateral with equal angles and opposite sides that are equal and…

Q: What is the greatest common factor of 5x^75x75, x, start superscript, 7, end superscript,…

A: The given polynomials are: 5x7 ,   30x4 ,   10x3

Q: What is the largest number x such that x<200 and x has exactly 4 factors?

A: Factors:    Number that are multiplied together to get a product                              Factor…

Q: Does (Z11 , + , .) have subfields? In this case which subfields.

A:

Q: 2.8 x 105 pounds of treasure is split 0.05 pounds 4 into groups of 0.05 pounds each. Enter the…

A: we have to find number of divisions

Q: Explain why it's possible that (UTV)" = v™U. Base your answer on the dimensions of the products. %3D…

A: We are entitled to solve only one question at a time, so I am providing you the solution of first…

Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

A:

Q: Multiply three consecutive integers together and then add the second integer to that product. Use…

A: Consider three consecutive numbers x, (x+1), (x+2). Take a product of these numbers we get,…

Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: Prove: The product of 2 numbers is equal to the product of their least common multiple and their…

A:

Q: Are the rest of division of Euclidean method to give the GCD(351,231): o 351, 231, 120, 111, 9, 0 o…

A: GCD = Greatest common division

Q: if two even integers are multiflied, then the product is also even

A: Ans. True

Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

A:

Q: Prove that the sum of the squares of three consecutive integers cannotbe a square.

A:

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The expansion of an general expression is given by (a+b)n=∑nkan-kbkk=0n  so any term can be found…

Q: Compute the dot product (7, 6, 8) - (4, 10, 8).

A: To find - Compute the dot product 7, 6, 8·4, 10, 8

Q: fully expand (3x + 2)5 with Pascal's Triangle?

A:

Q: Suppose two squares of the same color are removed from an 8 x 8 chessboard. Is it possible to tile…

A:

Q: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

A:

Q: Express in the form a+ bi. -21

A: Our Aim is to express 51+2i-(i) in the form a+bi

Q: 'Prove that the relative error of a product of 3 non zero numbers does not exceed the sum of the…

A:

Q: Use binomial theorum to expand (1 + 1/x)^7

A:

Q: How many squares of any size are in an 8x8 checkerboard using Polya's Four step method

A: Polya's created a famous four step process for problem solving which is used all over to aid people…

Q: Can you think of the smallest number N such that ot can be expressed as a product of the two factors…

A: We have to find out the number N that can be expressed as a product of the two factors which are…

Q: Therefore, the 3rd term in the expansion of (x – 10z)’ is as follows. 7! 7C2x7 - 2(-10z)? 5! (-10z)?…

A: Therefore, the 3rd term in the expansion of  (x-10z)7 is as follows.   7C2x7-2(-10z)2=7!5!2…

Q: Use syntheti division t deknnime k= -i in a zero of explaiin. fex)=x*+2x²+3X +2 the functui and

A:

Q: Find the product of - 10 - 6i and its conjugate. Question Help: DPost to forum

A: Given -10-6i

Q: Suppose you have 1000 blocks, each of which is 1.0 cm on a side. If all 1000 of these blocks are…

A: First consider the case of 1000 blocks stacked to give a cube 10 cm on a side. The block which have…

Q: d the image of the point (-2,4) under the expansion with factor 2 in the direction. ) (2,8) (-2,8)…

A: Given query is to find image of the point after expansion.

Q: Prove the property of cross products: av(btc)=(axb)+ caxc).

A:

Q: 125*+2 = 3125*4

A:

Q: Show that a 6 × n board (n ≥ 2) can be tiled with L-shaped tiles, without gap and overlapping. Each…

A: Before we begin proving the statement, we shall understand the shapes. An L-shaped three-square tile…

Q: 6. Theorem X = 83 M (9x + 40)

A: