# How do you simplify (4x)/(x²+2x) + (2x)/(x²+2x)?

May 2, 2018

color(brown)(=> 6 / (x + 2)

#### Explanation:

$\frac{4 x}{{x}^{2} + 2 x} + \frac{2 x}{{x}^{2} + 2 x}$

Since the denominator is common in both the terms, L C M is the same as the denominator.

$\therefore \implies \frac{4 x + 2 x}{{x}^{2} + 2 x}$

$\implies \frac{6 \cancel{x}}{\cancel{x} \cdot \left(x + 2\right)}$

color(brown)(=> 6 / (x + 2)