What is 1/(x+2)+1/(x-2) ?

The solution to 1/(x+2)+1/(x-2) is (2x)/((x+2)(x-2))

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simplify 1/(x+2)+1/(x-2)

simplify

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

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

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

x - 2 + x + 2 : 2 x

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

- 21 \div 3

\frac{9}{8} \cdot \frac{3}{8}

(\frac{3 a ^{5}}{9 a ^{- 4}})^{- 2}

2 y^{2} + 9 y - 18

(3 - 4 i) (- 3 - 2 i)