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

The solution to 2/(x-2)+2/(x+2) is (4x)/((x-2)(x+2))

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

simplify

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

\frac{4 x}{( x - 2 ) ( x + 2 )}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

2 (x + 2) + 2 (x - 2) : 4 x

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

n \cdot 1^{n}

\frac{6}{3 2}

10 + 2

10 + 4

13 - 6