# How do you multiply \frac{5x^2+16x+3}{36x^2-25} \cdot (6x^2+5x)?

May 26, 2018

$\frac{x \cdot \left(5 \cdot {x}^{2} + 16 x + 3\right)}{6 x - 5}$

#### Explanation:

The numerator is given by
$36 {x}^{2} - 25 = \left(6 x - 5\right) \left(6 x + 5\right)$
and the factor
$6 {x}^{2} + 5 x = x \left(6 x + 5\right)$
So we get by cancelling
$6 x + 5$
the result
$\frac{x \left(5 {x}^{2} + 16 x + 3\right)}{6 x - 5}$