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maria [59]
2 years ago
9

Answer as soon as possible

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
8 0

Answer:

C. -2a^3+9a^2+45a+6ab^2+18b^2

Step-by-step explanation:

Product of (a+3) and (-2a^2+15a+6b^2)

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

By distributive property,

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

Again by distributive property,

-2a^3+15a^2+6ab^2-6a^2+45a+18b^2

Combine like terms,

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

Hence, Option 'C' is correct.

alexandr1967 [171]2 years ago
3 0

Answer:

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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