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