# How do you simplify (4x^2y^2)/(25b^2) + (2x)/(25b)?

Jul 19, 2017

$\frac{4 {x}^{2} {y}^{2} + 2 x b}{25 {b}^{2}}$

#### Explanation:

To simplify $\frac{4 {x}^{2} {y}^{2}}{25 {b}^{2}} + \frac{2 x}{25 b}$, the denominators must be the same so multiply the second fraction by $\frac{b}{b}$

$\frac{4 {x}^{2} {y}^{2}}{25 {b}^{2}} + \left[\frac{2 x}{25 b}\right] \cdot \frac{b}{b}$

This makes $\frac{4 {x}^{2} {y}^{2}}{25 {b}^{2}} + \frac{2 x b}{25 {b}^{2}}$

Since the denominators are now the same, youu can add the numerators

$\frac{4 {x}^{2} {y}^{2} + 2 x b}{25 {b}^{2}}$