12
QuizMultiple Choice

Measures of Center

Question 12 • Common Core Algebra I B-IC

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

Answer
A
–2p2 – 11p – 35
B
2p2 + 21p + 29
C
–2p2 + 13p + 13
D
4p2 + 37p – 67

Explanation

First expand the square: (p + 4)² = p² + 8p + 16. Multiply each term by −2 to get −2p² − 16p − 32, then combine the remaining terms: −16p + 5p = −11p and −32 − 3 = −35. The simplified expression is −2p² − 11p − 35, choice A.

AI-written and checked against the verified answer.

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