What is 3/(x^2-25)-2/(x+5) ?

The solution to 3/(x^2-25)-2/(x+5) is (-2x+13)/((x+5)(x-5))

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simplify 3/(x^2-25)-2/(x+5)

simplify

\frac{3}{x ^{2} - 25} - \frac{2}{x + 5}

\frac{- 2 x + 13}{( x + 5 ) ( x - 5 )}

Solution steps

\frac{3}{x ^{2} - 25} - \frac{2}{x + 5}

Least Common Multiplier of

x^{2} - 25, x + 5 : (x + 5) (x - 5)

Adjust Fractions based on the LCM

= \frac{3}{( x + 5 ) ( x - 5 )} - \frac{2 ( x - 5 )}{( x + 5 ) ( x - 5 )}

Apply the fraction rule:

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

= \frac{3 - 2 ( x - 5 )}{( x + 5 ) ( x - 5 )}

Simplify

3 - 2 (x - 5) : - 2 x + 13

= \frac{- 2 x + 13}{( x + 5 ) ( x - 5 )}

(r + 4) (r + 6)

(2 x - 1)^{6}

ab x^{2} + (a^{2} + b^{2}) x + ab

(5 x - 1) (5 x + 1)

What is 3/(x^2-25)-2/(x+5) ?
The solution to 3/(x^2-25)-2/(x+5) is (-2x+13)/((x+5)(x-5))