12
QuizMultiple Choice

Polynomial Operations — Test

Question 12 • Algebra II

Which expression is equivalent to open paren 3 x squared minus 7 close paren ?

Answer
A
open paren 10 x squared minus 4 close paren minus open paren 7 x squared plus 3 close paren
B
open paren 2 x squared minus 11 close paren minus open paren x squared plus 4 close paren
C
open paren 15 x squared plus 8 close paren minus open paren 18 x squared plus 1 close paren
D
open paren 5 x squared minus 6 close paren minus open paren 2 x squared minus 1 close paren

Explanation

Distribute the subtraction across each second set of parentheses, then combine like terms. In choice D, (10x² − 4) − (7x² + 3) = 10x² − 4 − 7x² − 3 = 3x² − 7, which matches the expression. The other choices simplify to different expressions.

AI-written and checked against the verified answer.

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