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

1 Answer
Nov 14, 2017

#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#