Solve (2x)/(x ^ 2 + 5x + 4) + 8/(x ^ 2 + 5x + 4) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac{2x}{x^{2}+5x+4}+\frac{8}{x^{2}+5x+4}$$

Evaluate

$\frac{2}{x+1}$

Short Solution Steps

Since $\frac{2x}{x^{2}+5x+4}$ and $\frac{8}{x^{2}+5x+4}$ have the same denominator, add them by adding their numerators.

$$\frac{2x+8}{x^{2}+5x+4}$$

Factor the expressions that are not already factored in $\frac{2x+8}{x^{2}+5x+4}$.

$$\frac{2\left(x+4\right)}{\left(x+1\right)\left(x+4\right)}$$

Cancel out $x+4$ in both numerator and denominator.

$$\frac{2}{x+1}$$

Factor

$\frac{2}{x+1}$