# How do you simplify (7x - 15) / (11x + 121) * (x+11)?

Jul 18, 2015

=color(blue)((7x-15)/11

#### Explanation:

$\left(\frac{7 x - 15}{11 x + 121}\right) \cdot \left(x + 11\right)$

The denominator has $11$ common to both terms

$\frac{7 x - 15}{11 \left(x + 11\right)} \cdot \left(x + 11\right)$

$\frac{7 x - 15}{11 \cancel{\left(x + 11\right)}} \cdot \left(\cancel{x + 11}\right)$

=color(blue)((7x-15)/11