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AssignmentMultiple Choice

Absolute Value Functions and Translations

Question 3 • FL-1200310-Algebra 1 A

What is the product of 2p + q and –3q – 6p + 1?

Answer
A
–12p2 – 6pq – 4p – 3q + 1
B
–12p2– 12pq + 2p – 3q2 + q
C
–9p2q2 + 12pq – 2p + q
D
12p2 + 12pq +2p + 3q2 + q

Explanation

Distribute each term in 2p + q across –3q – 6p + 1: (2p)(–6p) = –12p², and the two pq products are –6pq and –6pq, totaling –12pq. The remaining products are –3q², +2p, and +q, so the result is –12p² – 12pq + 2p – 3q² + q, which matches choice B.

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