Question

Choose the product.

-7p^3(4p^2 + 3p - 1)

A) -28p5 - 21p4 + 7p3
B) 28p6 + 21p3 - 7p
C) 21p3 + 8p2 + 3p4 - 8p
D) -21p5 + 8p4 - 3p3

Answer 1

A.) Distribute the outside to each term

Remember, when you multiply exponents you add the numbers together

Answer 2

`-28p^5-21p^4+7p^3`

Explanation:

`-7p^3(4p^2 + 3p - 1)`

To find the product apply oprder of operations PEMDAS and properties of exponents

`a^m \cdot a^n= a^(m+n)`

`(a^m)/(a^n) =a^(m-n)`

Multiply -7p^3 inside the parenthesis

`-7p^3(4p^2 + 3p - 1)`

`-28p^5-21p^4+7p^3`