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

The solution to 5/(x-5)-5/(x+5) is (50)/((x-5)(x+5))

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

simplify

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

\frac{50}{( x - 5 ) ( x + 5 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

5 (x + 5) - 5 (x - 5) : 50

= \frac{50}{( x - 5 ) ( x + 5 )}

2 (8 v + 2)

(x - 5) (2 x^{2} - x + 4)

y \cdot (- y)

2 x (- 4 x)

610