Pre-Algebra Examples

$\frac{x^{2} + 8 x - 15}{{(x - 5)}^{2} (x + 5)}$

Step 1

Split the fraction $\frac{x^{2} + 8 x - 15}{{(x - 5)}^{2} (x + 5)}$ into two fractions.

$\frac{x^{2} + 8 x}{{(x - 5)}^{2} (x + 5)} + \frac{- 15}{{(x - 5)}^{2} (x + 5)}$

Step 2

Split the fraction $\frac{x^{2} + 8 x}{{(x - 5)}^{2} (x + 5)}$ into two fractions.

$\frac{x^{2}}{{(x - 5)}^{2} (x + 5)} + \frac{8 x}{{(x - 5)}^{2} (x + 5)} + \frac{- 15}{{(x - 5)}^{2} (x + 5)}$

Step 3

Move the negative in front of the fraction.

$\frac{x^{2}}{{(x - 5)}^{2} (x + 5)} + \frac{8 x}{{(x - 5)}^{2} (x + 5)} - \frac{15}{{(x - 5)}^{2} (x + 5)}$