Question

How do you simplify `\frac{-18x^{2}+36x+9}{-3x}`?

Answer 1

See a solution process below:

Explanation:

First, factor and cancel common terms out of the numerator and denominator:

`((-9 * 2x^2) + (-9 * -4x) + (-9 * -1))/(-3 * x) =>`

`(-9(2x^2 + (-4x) + (-)))/(-3 * x) =>`

`(-9(2x^2 - 4x - 1))/(-3 * x) =>`

`(color(red)(cancel(color(black)(-9)))3(2x^2 - 4x - 1))/(color(red)(cancel(color(black)(-3))) * x) =>`

`(3(2x^2 - 4x - 1))/x`