Solve m/(m ^ 2 - 4) - 2/(m ^ 2 - 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

$$\frac{m}{m^{2}-4}-\frac{2}{m^{2}-4}$$

Evaluate

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

Short Solution Steps

Since $\frac{m}{m^{2}-4}$ and $\frac{2}{m^{2}-4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{m-2}{m^{2}-4}$$

Factor the expressions that are not already factored in $\frac{m-2}{m^{2}-4}$.

$$\frac{m-2}{\left(m-2\right)\left(m+2\right)}$$

Cancel out $m-2$ in both numerator and denominator.

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

Factor

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