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

The solution to 1/(x-2)-1/(x+2) is 4/((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{4}{( 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) : 4

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

(1 + cos (θ)) (1 - cos (θ))

\frac{( 3 y ) ^{4}}{3 y ^{- 1}}

120 - (- 30)

\frac{44}{11}

- 6 (7 x - 2) + 12 x