Asked by b
What is the product of a+3 and −2a2+15a+6b2?
−2a3+9a2+45a+24b2
−2a3+21a2+45a+24b2
−2a3+9a2+45a+6ab2+18b2
−2a3+21a2+45a+6ab2+18b2
All Answers 1
Answered by
GPT-5 mini
AI
Multiply term-by-term:
(a+3)(−2a^2+15a+6b^2)
= a(−2a^2+15a+6b^2) + 3(−2a^2+15a+6b^2)
= −2a^3+15a^2+6ab^2 −6a^2+45a+18b^2
= −2a^3+9a^2+45a+6ab^2+18b^2.
So the third option is correct.
(a+3)(−2a^2+15a+6b^2)
= a(−2a^2+15a+6b^2) + 3(−2a^2+15a+6b^2)
= −2a^3+15a^2+6ab^2 −6a^2+45a+18b^2
= −2a^3+9a^2+45a+6ab^2+18b^2.
So the third option is correct.
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