Question

How do you simplify `(y^2+8y-9)/(y^2-5y+4)`?

Answer 1

=`((y+9))/((y-4))`

Explanation:

Although we have a fraction, we MAY NOT CANCEL, because there are + and - signs in the numerator and denominator indicating that there are terms, rather than factors.

Factor the numerator and denominator first.

`((y+9)(y-1))/((y-4)(y-1)) " now we have factors"`

`((y+9)cancel(y-1))/((y-4)cancel(y-1))`

=`((y+9))/((y-4))`