What is 5/(x+2)+6/(x-3) ?

The solution to 5/(x+2)+6/(x-3) is (11x-3)/((x+2)(x-3))

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simplify 5/(x+2)+6/(x-3)

simplify

\frac{5}{x + 2} + \frac{6}{x - 3}

\frac{11 x - 3}{( x + 2 ) ( x - 3 )}

Solution steps

\frac{5}{x + 2} + \frac{6}{x - 3}

Least Common Multiplier of

x + 2, x - 3 : (x + 2) (x - 3)

Adjust Fractions based on the LCM

= \frac{5 ( x - 3 )}{( x + 2 ) ( x - 3 )} + \frac{6 ( x + 2 )}{( x + 2 ) ( x - 3 )}

Apply the fraction rule:

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

= \frac{5 ( x - 3 ) + 6 ( x + 2 )}{( x + 2 ) ( x - 3 )}

Simplify

5 (x - 3) + 6 (x + 2) : 11 x - 3

= \frac{11 x - 3}{( x + 2 ) ( x - 3 )}

\frac{x ^{2}}{16} - 1

x^{2} + 5 x - 150

x^{3} + 4 x^{2} - 2 x - 8

x^{\frac{1}{2}} - x^{- \frac{1}{2}}

+ 12 x^{2} - 27 x - 27

What is 5/(x+2)+6/(x-3) ?
The solution to 5/(x+2)+6/(x-3) is (11x-3)/((x+2)(x-3))