Question

Simplify 2a^2b^3(4a^2 + 3ab^2 - ab)=?

A. 8a^4b^5 + 3a^3b^5 + 2a^3b^4 B.8a^4b^5 + 3a^3b^5 - 2a^3b^4
C.8a^4b^3 + 6a^3b^5 + 2a^3b^4 D.8a^4b^3 + 6a^3b^5 - 2a^3b^4

Answer 1

The answer is D
When multiplying like terms, we add the power
When dividing like terms, we subtract the powers

Answer 2

D.8a^4b^3 + 6a^3b^5 - 2a^3b^4

Explanation:

To simplify the given expression, we must open up the parenthesis by multiplying the variable outside of it with all the individual elements in the parenthesis.

2a^2b^3 × 4a^2 = 8a^4b^3

2a^2b^3 × 3ab^2 = 6a^3b^5

2a^2b^3 × - ab = -2a^3b^4

Adding up the products

2a^2b^3(4a^2 + 3ab^2 - ab) = 8a^4b^3 + 6a^3b^5 - 2a^3b^4