Question

What is the product if a-3 and -2a^2+15a+6b2

Answer 1

The product if a-3 and -2a^2+15a+6b^2 is: $-2a^3+21a^2+6ab^2-45a-18b^2$

Step-by-step explanation:

In order to find the product of 2 expressions, distributive property can be used.

Given expressions are:

$a-3\\and\\-2a^2+15a+6b^2$

Product of given expressions

$= (a-3)(-2a^2+15a+6b^2)\\= a(-2a^2+15a+6b^2)-3(-2a^2+15a+6b^2)\\= -2a^3+15a^2+6ab^2+6a^2-45a-18b^2$

Combining like terms

$= -2a^3+15a^2+6a^2+6ab^2-45a-18b^2\\=-2a^3+21a^2+6ab^2-45a-18b^2$

Hence,

The product if a-3 and -2a^2+15a+6b^2 is: $-2a^3+21a^2+6ab^2-45a-18b^2$

Keywords: Expressions, product

Learn more about expressions at:

• brainly.com/question/3269852
• brainly.com/question/3280369

#LearnwithBrainly