Question

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

Answer 1

Answer:

           -2a³ + 9a² + 6ab² + 45a + 18b²

Step-by-step explanation:

(a + 3)×(−2a² + 15a + 6b²) =

= a×(−2a² + 15a + 6b²) + 3×(−2a² + 15a + 6b²) =

= -2a³ + 15a² + 6ab² - 6a² + 45a + 18b² =

= -2a³ + 9a² + 6ab² + 45a + 18b²

Answer 2

The product $(a+3) * (-2a^2+15a+6b^2)$ is $-2a^3+9a^2+ 45a +6ab^2 + 18b^2$

What is product?

The product of numbers or expressions is gotten by multiplying them

The product expression is represented as:

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

Expand the expression

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

Collect like terms

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

Evaluate the like terms

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

Hence, the product $(a+3) * (-2a^2+15a+6b^2)$ is $-2a^3+9a^2+ 45a +6ab^2 + 18b^2$

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https://brainly.com/question/4344214