What is 4/(x+3)-2/(x-5) ?

The solution to 4/(x+3)-2/(x-5) is (2x-26)/((x+3)(x-5))

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simplify 4/(x+3)-2/(x-5)

simplify

\frac{4}{x + 3} - \frac{2}{x - 5}

\frac{2 x - 26}{( x + 3 ) ( x - 5 )}

Solution steps

\frac{4}{x + 3} - \frac{2}{x - 5}

Least Common Multiplier of

x + 3, x - 5 : (x + 3) (x - 5)

Adjust Fractions based on the LCM

= \frac{4 ( x - 5 )}{( x + 3 ) ( x - 5 )} - \frac{2 ( x + 3 )}{( x + 3 ) ( x - 5 )}

Apply the fraction rule:

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

= \frac{4 ( x - 5 ) - 2 ( x + 3 )}{( x + 3 ) ( x - 5 )}

Simplify

4 (x - 5) - 2 (x + 3) : 2 x - 26

= \frac{2 x - 26}{( x + 3 ) ( x - 5 )}

(u^{2} - 1)^{2}

\frac{a ^{2} \cdot a ^{- 4}}{a ^{- 1} \cdot a ^{3}}

6 x^{2} y^{2} - 12 x^{2} y^{2} + x^{2} y^{2}

\frac{( tan ( x ) + cot ( x ) )}{csc ( x )}

\frac{- 12}{6}

What is 4/(x+3)-2/(x-5) ?
The solution to 4/(x+3)-2/(x-5) is (2x-26)/((x+3)(x-5))