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

Jul 23, 2016

=$\frac{\left(y + 9\right)}{\left(y - 4\right)}$

#### 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.

$\frac{\left(y + 9\right) \left(y - 1\right)}{\left(y - 4\right) \left(y - 1\right)} \text{ now we have factors}$

$\frac{\left(y + 9\right) \cancel{y - 1}}{\left(y - 4\right) \cancel{y - 1}}$

=$\frac{\left(y + 9\right)}{\left(y - 4\right)}$