Question

What is a simpler form of the expression?

(2n2 + 5n + 3)(4n – 5)

A. 8n3 + 10n2 – 13n – 15
B. 8n3 + 30n2 – 37n – 15
C. 8n3 – 10n2 + 37n – 15
D. 8n3 + 13n2 – 10n – 15

Answer 1

(2n^2 + 5n + 3)(4n - 5) =
4n(2n^2 + 5n + 3) - 5(2n^2 + 5n + 3) =
8n^3 + 20n^2 + 12n - 10n^2 - 25n - 15 =
8n^3 + 10n^2 - 13n - 15 <===