What is x/(x+5)-2/(x-10) ?

The solution to x/(x+5)-2/(x-10) is (x^2-12x-10)/((x+5)(x-10))

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simplify x/(x+5)-2/(x-10)

simplify

\frac{x}{x + 5} - \frac{2}{x - 10}

\frac{x ^{2} - 12 x - 10}{( x + 5 ) ( x - 10 )}

Solution steps

\frac{x}{x + 5} - \frac{2}{x - 10}

Least Common Multiplier of

x + 5, x - 10 : (x + 5) (x - 10)

Adjust Fractions based on the LCM

= \frac{x ( x - 10 )}{( x + 5 ) ( x - 10 )} - \frac{2 ( x + 5 )}{( x + 5 ) ( x - 10 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{x ( x - 10 ) - 2 ( x + 5 )}{( x + 5 ) ( x - 10 )}

Simplify

x (x - 10) - 2 (x + 5) : x^{2} - 12 x - 10

= \frac{x ^{2} - 12 x - 10}{( x + 5 ) ( x - 10 )}

- \frac{2}{- \frac{2}{x}}

14 x^{2} - 31 x - 10

\frac{2}{1} + 1

x^{2} - 5^{2}

\frac{24010}{2744}

What is x/(x+5)-2/(x-10) ?
The solution to x/(x+5)-2/(x-10) is (x^2-12x-10)/((x+5)(x-10))