Many times, multiplying two binomials with two variables results in a trinomial. This is not the case when the product is a difference of two squares. Explain why the product is a binomial in this case. Multiplying two binomials yields the difference of two squares if the product of the outside terms and the product of the inside terms are  --------------------- reciprocals multiplicative inverses additive inverses equivalents factors of each other. When these terms are added, their sum is ----------------

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

A:

Q: Step 3 Write the two binomial factors so that the first term of each factor is x and the second…

A: To write the complete factorization of

Q: Find U and V an then factor the expression 9x^2-4y^6

A: Given the expression is 9x2-4y6

Q: 6x^2y+2xy^2 is this monomial or binomial

A: The objective of the question is to determine whether the given expression, 6x^2y + 2xy^2, is a…

Q: Factor the binomial 24x y – 40x'y completely.

A:

Q: 3 10х° -34х + 4 2x-4

A: We have to find the long  division

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: 5x + 26х+5

A: The objective is to factor the given polynomial.

Q: (5x+4)(2x+5)^2+(5x+4)^2(2x+5) factor

A: Given

Q: How do you determine whether to use a plus or minus signs in the binomial factors of a trinomial of…

A: on using the formula x=(-b+-(√b^2-4ac))/2a

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

A: No. See the attachment

Q: Polynomial Operations Add polynomials. 1. f(x) = 2x + 5x? -3x +4 g(x) = x°- 2x² -1 f(x) + g(x) =…

A:

Q: factor 3x^3+17x^2-54x+16 into linear factors, Give all factors in exact form.

A: Topic- algebraic factors

Q: Write the expression (x-3)^2 - 36 in factored form .    (x-3)^2-36 is written as x^2-6x-27 in…

A: Consider the given expression: