Answer:
4x^3+8x^2-96x = 4x(x-4)(x+6)
Step-by-step explanation:
4x^3, 8x^2 and 96x have 4x as a common factor. Hence
4x^3+8x^2-96x = 4x*(x^2+2x-24)
Furthermore, (x^2+2x-24)= (x-4)(x+6)
because 6-4=2 and 6*(-4) = -24.
So 4x^3+8x^2-96x = 4x*(x^2+2x-24) = 4x(x-4)(x+6).
