Question

Simplify the expression -2x^2(4x − 3).

-8x3 − 6x2
-8x3 + 6x2
8x3 − 6x2
8x3 + 6x2

Answer 1

To simplify the expression we are going to use the distributive property of multiplication:
`a(b+c)=ab+ac`.
We can infer from our problem that
`a=-2x^2`,
`b=4x`, and
`c=-3`. So lets apply the property to simplify our expression:

`-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)`

`(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2`

We can conclude that the correct answer is -8x3 + 6x2