8
QuizMultiple Choice

Multiplying Monomials and Binomials — Quiz

Question 8 • Algebra I

Which is equivalent to open paren 4 x y minus 3 z close paren squared , and what type of special product is it?

Answer
A
16 x squared y squared plus 9 z squared , the difference of squares
B
16 x squared y squared minus 24 x y z plus 9 z squared , the difference of squares
C
16 x squared y squared minus 24 x y z plus 9 z squared , a perfect square trinomial
D
16 x squared y squared plus 9 z squared , a perfect square trinomial

Explanation

Use the square-of-a-difference rule: (a − b)² = a² − 2ab + b². Here, a = 4xy and b = 3z, so (4xy − 3z)² = 16x²y² − 24xyz + 9z². This is a perfect square trinomial, so the correct choice is C.

AI-written and checked against the verified answer.

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