Question

How do you simplify `\frac{15y^{2}-26y+8}{3y-4}`?

Answer 1

`5y - 2`

Explanation:

`(15y^2 - 26y + 8)/(3y - 4)`

In order to simplify this, you need to first factor out the numerator
`15y^2 - 26y + 8 = (5y - 2)(3y - 4)`

So we now have:
`((5y - 2)(3y - 4))/(3y - 4)`

Cancelling out the (3y - 4) from the numerator and the denominator, we will be left with:
`5y - 2`