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

The solution to 2/((x+2))+5/((x-2)) is (7x+6)/((x+2)(x-2))

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

simplify

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

\frac{7 x + 6}{( x + 2 ) ( x - 2 )}

Solution steps

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

Simplify

2 (x - 2) + 5 (x + 2) : 7 x + 6

= \frac{7 x + 6}{( x + 2 ) ( x - 2 )}

(x^{2} - 5 y)^{3}

\frac{( 15 a - 12 b )}{( 6 a - 9 b )}

4 - 22 a^{2} + 121

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

\frac{15 x ^{4} + 20 x ^{3}}{5 x ^{2}}

What is 2/((x+2))+5/((x-2)) ?
The solution to 2/((x+2))+5/((x-2)) is (7x+6)/((x+2)(x-2))