Simplify the expression: \((6p + 4q)(-2p + 9q)\)

( 6 p + 4 q ) ( − 2 p + 9 q ) = = − 2 p ⋅ 6 p + 9 q ⋅ 6 p − 2 p ⋅ 4 q + 9 q ⋅ 4 q = = − 12 p 2 + 54 pq − 8 pq + 36 q 2 = = − 12 p 2 + 46 pq + 36 q 2

Answered by Lilith | 2024-06-10

Well first you have to multiply using FOIL, so... -12p² + 54qp -8qp +36q² -12p² + 46qp + 36q² is the simplified answer Hope that helps :)

Answered by YasMars | 2024-06-10

The expression ( 6 p + 4 q ) ( − 2 p + 9 q ) simplifies to − 12 p 2 + 46 pq + 36 q 2 using the distributive property. Each term in the first binomial is multiplied by each term in the second binomial, and like terms are combined. This results in the final simplified form.
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Answered by Lilith | 2025-02-28