What is 3/(x-6)+4/(x+5) ?

The solution to 3/(x-6)+4/(x+5) is (7x-9)/((x-6)(x+5))

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simplify 3/(x-6)+4/(x+5)

simplify

\frac{3}{x - 6} + \frac{4}{x + 5}

\frac{7 x - 9}{( x - 6 ) ( x + 5 )}

Solution steps

\frac{3}{x - 6} + \frac{4}{x + 5}

Least Common Multiplier of

x - 6, x + 5 : (x - 6) (x + 5)

Adjust Fractions based on the LCM

= \frac{3 ( x + 5 )}{( x - 6 ) ( x + 5 )} + \frac{4 ( x - 6 )}{( x - 6 ) ( x + 5 )}

Apply the fraction rule:

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

= \frac{3 ( x + 5 ) + 4 ( x - 6 )}{( x - 6 ) ( x + 5 )}

Simplify

3 (x + 5) + 4 (x - 6) : 7 x - 9

= \frac{7 x - 9}{( x - 6 ) ( x + 5 )}

\frac{100}{500}

\frac{x ^{2} - 7 x + 10}{x - 2}

\frac{x ^{2} - 7 x + 10}{x - 5}

\frac{( 2 p ^{- 1} ) ^{5}}{6 j ^{- 8} p ^{- 8}}

- 3 \cdot 9

What is 3/(x-6)+4/(x+5) ?
The solution to 3/(x-6)+4/(x+5) is (7x-9)/((x-6)(x+5))