36
AssignmentMultiple Select

Multiplying Monomials and Binomials

Question 36 • (AG Q2) Keystone Algebra 1 Block: 26-27(DDiamond)

Which products result in a difference of squares or a perfect square trinomial? Check all that apply. (5x + 3)(5x – 3)(7x + 4)(7x + 4)(2x + 1)(x + 2)(4x – 6)(x + 8)(x – 9)(x – 9) (–3x – 6)(–3x + 6)

Answer
A
(5x + 3)(5x – 3)
B
(7x + 4)(7x + 4)
C
(2x + 1)(x + 2)
D
(4x – 6)(x + 8)
E
(x – 9)(x – 9)
F
(–3x – 6)(–3x + 6)

Explanation

A product of conjugates, (a + b)(a − b), is a difference of squares; multiplying a binomial by itself gives a perfect square trinomial. Choice A uses conjugates, so it gives 25x² − 9. Choices B and E each multiply a binomial by itself, so they give perfect square trinomials. Choice F is also a product of conjugates (with terms −3x and 6), giving 9x² − 36. Choices C and D have neither pattern.

AI-written and checked against the verified answer.

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