Question

What is the standard form of `y= (4x+2)(2x-6)-(x^2-4x)(-3x+2)`?

Answer 1

`y=3x^3-6x^2-12x-12`

Explanation:

First, distribute using FOIL:

`y=(8x^2-24x+4x-12)-(-3x^3+2x^2+12x^2-8x)`

Combine like terms inside the parentheses:

`y=(8x^2-20x-12)-(-3x^3+14x^2-8x)`

Now subtract:

`y=3x^3-6x^2-12x-12`