Question

Which expression is equivalent to

(x^2-5x)(3x^2+2x-9)

A) x^2(3x^2+2x-9)-5x

B) x^2(3x^2+2x)-5x(2x-9)

C) x^2(3x^2+2x-9)+5x(3x^2+2x-9)

D) x^2(3x^2+2x-9)-5x(3x^+2x-9)

Help plsss

Answer 1

x^2(3x^2 + 2x - 9) - 5x(3x^2+2x-9)

Answer 2

`\large\boxed{D)\ x^2(3x^2+2x-9)-5x(3x^2+2x-9)}`

Explanation:

`\text{Use the distributive property}\ a(b+c)=ab+ac.\\\\(x^2-5x)(3x^2+2x-9)=(x^2)(3x^2+2x-9)+(-5x)(3x^2+2x-9)`