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: If-2x³-6x² + 5x-7 is divided by x-7 to give a quotient of -2x²-20x-135 and a remainder of -952, then…

A: Given: -2x3-6x2+5x-7 is divided by x-7 to give a quotient of -2x2-20x-135 a remainder of -952.

Q: Use factorization to simplify as much as possible: 7- 22 4

A:

Q: 18y^2+18: factor the sums of the squares without using qusd

A: 18y2+18Factor the given expression.

Q: Multiply: (a) (m + 2)(m – 2), (b) (3y + 4)(3y – 4), (c) (b -6 +), and (d) (tª – 6u)(tª + 6u). To…

A: To find the product of two binomials, we generally use the FOIL (First, Outer, Inner, Last) method.…

Q: Expand the expression using the Binomial Theorem: x5+ 405 x+ 270 (3x - 1)5 = 243 15 x+ 1 x³+90 x² +

A:

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: EXAMPLE 2 Multiplying Binomials Using FOIL (2x + 1)(3x - 5) = 6x? – 10x + 3x – 5 Distributive…

A: There is also a special method, useful only for a…

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

A:

Q: Factor 3k^3 +18k^2 +42k +36 into a way that includes k^2 +(k+1)^3 + (k+2)^3 in the factored…

A: Given: Dividend: 3k3+18k2+42k+36Divisor    : k2+(k+1)3+(k+2)3 Aim: To factorize '3k3+18k2+42k+36'…

Q: Rationalize the denominator and simpiify

A: Given query is to rationalize the denominator.

Q: When expanding two binomials, is the result always a trinomial? Explain

A: No. See the attachment

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: 5x45 loxt5x19

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

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

A: Given polynomials are,