18
QuizMultiple Choice

N/A — Exam

Question 18 • Algebra II

What is the product? open paren negative 2 x minus 9 y squared close paren times open paren negative 4 x minus 3 close paren

Answer
A
14 x squared plus 36 x y squared plus 27 y squared
B
negative 8 x squared minus 6 x minus 36 x y squared minus 27 y squared
C
negative 14 x squared minus 36 x y squared plus 27 y squared
D
8 x squared plus 6 x plus 36 x y squared plus 27 y squared

Explanation

Distribute each term in the first parentheses: (-2x)(-4x) = 8x², (-2x)(-3) = 6x, (-9y²)(-4x) = 36xy², and (-9y²)(-3) = 27y². Adding the terms gives 8x² + 6x + 36xy² + 27y², which is choice D.

AI-written and checked against the verified answer.

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