We can use the binomial theorem to expand (3x+5)14 and (3+5x)14 as sums of terms (monomials). Indicate all the terms (monomials) that are the same in both sums and explain why you know this, without fully expanding out all of the terms.

Q: Multiplying a binomial times a binomial requires that you distribute both terms then combine like…

A: Given: Multiplying a binomial times a binomial requires that you distribute both terms then combine…

Q: Multiply using the rule for the square of a binomial. (7x+4)² (7x + 4)² = ¯¯¯ TEM

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Q: Why can't a term also be a factor ? Can a factor be a sum ? and why ?

A: Let us consider one example. Factor the polynomial completely. 6x4 -3x3 - 24x2 + 12x Here the…

Q: Multiply using either the formula for the square of a binomial or for the product of the sum and…

A: The given equation is: 5m2 + 3n5m2-3n

Q: A football team can score safeties (2 points each), field goals (3 points each), touchdowns (6…

A: Given that, Safeties is 2 points Field goals is 3 points. Touchdowns is 6 points. Touchdowns with…

Q: Find the product

A: Given: 4-23012-101261-102

Q: 5. Express 8V-121 – 4v-81 as a monomial in terms of i.

A: Please refer to the image below.

Q: Without expansion, evaluate (3x-2)*+ 4(3x-2)*(5-3x) + 6(3x-2)(5-3x) + 4(3x-2)(5-3x) + (5-3x)*.

A: We will solve the problem using binomial expansion.

Q: Find the remainder when 516 n + 3 + 2 (14!) is divided by 17.

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Q: hat is the coefficient of xk in 1+x+x4 divided by (1+x)5

A: This is the problem of combinatorial.

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: Find the product of the two binomials  (6-7x)(5+4x)= (simplify your answer)

A:

Q: The sum + x x+7 can be written as the product of - and what other fraction? x+7 (3) x-3 x+4 (2) *+7…

A: Given: 4x+3x+7

Q: Show that x -4 15a facter of x* - x + 2x* + 20x - 24.

A: Let suppose g(x) is the factor of f(x) ,then g(x) will completely divide f(x), i.e. remainder (f(x)/…

Q: Multiply the binomial (9x2-7y2) (x2-4y2)

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Q: Rationalize the denominator and simpiify

A: Given query is to rationalize the denominator.

Q: How to find two integers between a product and sum?

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Q: The expansion of the term (2x -) 16+x- 6x? + 16x³ – 16x* 16 16 – 64x + 96x2 – 64x3 + 16x* 1 -x + 6x2…

A: In this question we have to find the expression which we can find out by using the binomial theorem

Q: how do i  multiply two binomials

A: let take an example of (x2+1) and (x3+2) lets multiplies These Two      = (x2+1)*(x3+2)…

Q: how (n+2)^2+1 became (n+1+2)^2

A: The given sequence To find:-The nth term of sequence

Q: K Add the polynomials. (5x4y²-x²y² + 12xy) + (-6x4y²-6x²y-11xy) The sum is (Simplify your answer.)

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: Express 9- y as the product of two binomial factors. 1. (3+ y)(3- y)

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Q: 5x45 loxt5x19

A: A monomial is an expression with only one term including in it.

Q: The binomial 8x+6 is equivalent to (1) 4(2x+6) (2) 6(8x+1) (3) 2 (4x+3) (4) 4(2x+2)

A:

Q: Which of the following binomial expressions can be factored into 4(2x + 7)(2x – 7)?

A:

Q: 1+5×2+(1+3)

A: Given 1+5×2+(1+3)

Q: 3x + 3x + 2x2 + 7) + (3x² + 6x³ - 5x) 4 (6x-3x2- 3x - 3) - (7x - 3x + 7x²) % 2 (3x² -8x - 4)(3x + 2)

A: (3x+3x3+2x2+7)+(3x2+6x3-5x) 3x+3x3+2x2+7+3x2+6x3-5x 9x3+5x2-2x+7

Q: how do i add these two polynomials  8x7 +6x+3 and 6x9-2x8

A: Given polynomials are,

Q: Polynomials are added by combining------------------------- terms.

A: To add two or more polynomials, first step is to arrange each polyomial such that the term with the…

Q: What is the result of multiplying out (2x − 7)(Ax² + Bx + C)? • Your answers should contain capital…

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Q: Find the 3rd term  (5 -3x)5

A: