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

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

Evaluate

$\frac{1}{x+5}$

Short Solution Steps

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

$$\frac{2x}{x\left(x+5\right)}-\frac{x}{x^{2}+5x}$$

Cancel out $x$ in both numerator and denominator.

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

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

$$\frac{2}{x+5}-\frac{x}{x\left(x+5\right)}$$

Cancel out $x$ in both numerator and denominator.

$$\frac{2}{x+5}-\frac{1}{x+5}$$

Since $\frac{2}{x+5}$ and $\frac{1}{x+5}$ have the same denominator, subtract them by subtracting their numerators. Subtract $1$ from $2$ to get $1$.

$$\frac{1}{x+5}$$

Factor

$\frac{1}{x+5}$