Question

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

Answer 1

Answer:

30b^5 - 20b^3

Step-by-step 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

Answer:

$30b^5-20b^3$

Step-by-step 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

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