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

The solution to x/(x+2)+5/(x-2) is (x^2+3x+10)/((x+2)(x-2))

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

simplify

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

\frac{x ^{2} + 3 x + 10}{( x + 2 ) ( x - 2 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x (x - 2) + 5 (x + 2) : x^{2} + 3 x + 10

= \frac{x ^{2} + 3 x + 10}{( x + 2 ) ( x - 2 )}

1 0^{2} - 9^{2}

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

5 x^{11}

(- 6 x)^{- 1}

7 x^{2} + 13 x - 2

What is x/(x+2)+5/(x-2) ?
The solution to x/(x+2)+5/(x-2) is (x^2+3x+10)/((x+2)(x-2))