Question

Use the distributive property to remove the parentheses.
5b^3(6b^2-4)

Answer 1

30b^5 - 20b^3

Explanation:

5b^3(6b^2 - 4)

When you multiply numbers with exponents, you add the exponents.

5b^3 * 6b^2 = 30b^5

5b^3 * -4 = -20b^3

30b^5 - 20b^3

Answer 2

`30b^5-20b^3`

Explanation:

The distributive property says:

for every a, b, c,
`a\cdot (b+c)=a\cdot b+a\cdot c` (the distributive property over addition)

or
`a\cdot (b-c)=a\cdot b-a\cdot c` (the distributive property over subtraction).

In your case, applying distributive property over subtraction to the expression
`5b^3(6b^2-4)`, you get

`5b^3\cdot 6b^2-5b^3\cdot 4=30b^5-20b^3.`