To simplify the expression we are going to use the distributive property of multiplication: [tex]a(b+c)=ab+ac[/tex].
We can infer from our problem that [tex]a=-2x^2[/tex], [tex]b=4x[/tex], and [tex]c=-3[/tex]. So lets apply the property to simplify our expression:
[tex]-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)[/tex]
[tex](-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2[/tex]
We can conclude that the correct answer is -8x3 + 6x2
