What is 7/(x+2)+4/(x-5) ?

The solution to 7/(x+2)+4/(x-5) is (11x-27)/((x+2)(x-5))

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simplify 7/(x+2)+4/(x-5)

simplify

\frac{7}{x + 2} + \frac{4}{x - 5}

\frac{11 x - 27}{( x + 2 ) ( x - 5 )}

Solution steps

\frac{7}{x + 2} + \frac{4}{x - 5}

Least Common Multiplier of

x + 2, x - 5 : (x + 2) (x - 5)

Adjust Fractions based on the LCM

= \frac{7 ( x - 5 )}{( x + 2 ) ( x - 5 )} + \frac{4 ( x + 2 )}{( x + 2 ) ( x - 5 )}

Apply the fraction rule:

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

= \frac{7 ( x - 5 ) + 4 ( x + 2 )}{( x + 2 ) ( x - 5 )}

Simplify

7 (x - 5) + 4 (x + 2) : 11 x - 27

= \frac{11 x - 27}{( x + 2 ) ( x - 5 )}

(22)^{5}

\frac{( - 1 ) ^{4}}{4}

(4 a b^{5})^{4}

\frac{1}{x} + \frac{9}{8 x}

\frac{1}{3} (27)^{- \frac{2}{3}}

What is 7/(x+2)+4/(x-5) ?
The solution to 7/(x+2)+4/(x-5) is (11x-27)/((x+2)(x-5))