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

The solution to (x+2)/(x-2)-(x-2)/(x+2) is (8x)/((x-2)(x+2))

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

simplify

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

\frac{8 x}{( x - 2 ) ( x + 2 )}

Solution steps

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

Least Common Multiplier of

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

Adjust Fractions based on the LCM

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

Apply the fraction rule:

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

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

Simplify

(x + 2)^{2} - (x - 2)^{2} : 8 x

= \frac{8 x}{( x - 2 ) ( x + 2 )}

54 \cdot 6

(4 a - 2 b)^{2}

\frac{x ^{9} y ^{8} z ^{5}}{x ^{3} y ^{4} z ^{5}}

- cos^{2} (t) - sin^{2} (t)

What is (x+2)/(x-2)-(x-2)/(x+2) ?
The solution to (x+2)/(x-2)-(x-2)/(x+2) is (8x)/((x-2)(x+2))