Solve x/(x ^ 2 + 5x - 24) + 8/(x ^ 2 + 5x - 24) | 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

$$\frac{x}{x^{2}+5x-24}+\frac{8}{x^{2}+5x-24}$$

Evaluate

$\frac{1}{x-3}$

Short Solution Steps

Since $\frac{x}{x^{2}+5x-24}$ and $\frac{8}{x^{2}+5x-24}$ have the same denominator, add them by adding their numerators.

$$\frac{x+8}{x^{2}+5x-24}$$

Factor the expressions that are not already factored in $\frac{x+8}{x^{2}+5x-24}$.

$$\frac{x+8}{\left(x-3\right)\left(x+8\right)}$$

Cancel out $x+8$ in both numerator and denominator.

$$\frac{1}{x-3}$$

Factor

$\frac{1}{x-3}$