Answer as soon as possible
what is the product of a+3 and −2a^2+15a+6b^2?
a −2a^3+9a^2+45a+24b^2
b −2a^3+21a^2+45a+24b^2
c −2a^3+9a^2+45a+6ab^2+18b^2
d −2a^3+21a^2+45a+6ab^2+18b^2

C −2a^3+9a^2+45a+6ab^2+18b^2

Step-by-step explanation:

(a+3) ( −2a^2+15a+6b^2)

Distribute the a to the large term in parentheses and the 3 to the large term in parentheses

a ( −2a^2+15a+6b^2)+3  ( −2a^2+15a+6b^2)

−2a^3+15a^2+6ab^2 −6a^2+45a+18b^2

Combine like terms

−2a^3+15a^2−6a^2+6ab^2 +45a+18b^2

-2 a^3 + 9 a^2 + 6 a b^2 + 45 a + 18 b^2

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step-by-step explanation: