20
QuizMultiple Choice

Polynomials — Test

Question 20 • Algebra 2 with Probability

Which expression is equivalent to 3 plus 4 y minus y times open paren 9 minus 2 y close paren plus 5 ?

Answer
A
8 minus 7 y
B
2 y squared minus 5 y plus 8
C
negative 2 y squared minus 5 y plus 8
D
negative 6 y squared plus 27 y plus 8

Explanation

Distribute −y across the parentheses: −y(9 − 2y) = −9y + 2y². Then combine like terms: 3 + 5 = 8 and 4y − 9y = −5y, giving 2y² − 5y + 8. This matches choice D, “2y squared minus 5y plus 8.”

AI-written and checked against the verified answer.

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