Question

What is the standard form of `y= (x-5)(x+6)^2 - (x-5)^2 (x+6)`?

Answer 1

`y = 11x^2+11x-330`

Explanation:

`y = (x-5)(x+6)^2 - (x-5)^2(x+6)`

`color(white)(y) = (x-5)(x+6)((x+6) - (x-5))`

`color(white)(y) = (x-5)(x+6)(color(red)(cancel(color(black)(x)))+6-color(red)(cancel(color(black)(x)))+5)`

`color(white)(y) = 11(x-5)(x+6)`

`color(white)(y) = 11(x^2+x-30)`

`color(white)(y) = 11x^2+11x-330`