# How do you subtract \frac { 5y + 3} { y ^ { 2} - 64} - \frac { 4y + 5} { y ^ { 2} - 64}?

Mar 4, 2017

$\frac{y - 2}{{y}^{2} - 64}$

#### Explanation:

Since the fractions have a $\textcolor{b l u e}{\text{common denominator}}$ then we can subtract the terms on the numerator, leaving the denominator as it is.

$\Rightarrow \frac{\left(5 y + 3\right) - 1 \left(4 y + 5\right)}{{y}^{2} - 64}$

$= \frac{5 y + 3 - 4 y - 5}{{y}^{2} - 64}$

$= \frac{y - 2}{{y}^{2} - 64}$