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

The solution to 1/(x-2)+2/(x+2) is (3x-2)/((x-2)(x+2))

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

simplify

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

\frac{3 x - 2}{( x - 2 ) ( x + 2 )}

Solution steps

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

Simplify

x + 2 + 2 (x - 2) : 3 x - 2

= \frac{3 x - 2}{( x - 2 ) ( x + 2 )}

3 f (x)

3 \cdot 1 0^{7}

\frac{- 24 a ^{2} b ^{2} c ^{2} - 16 ab c}{- 12 a b ^{2}}

(x + 3 y - 4)^{2}

What is 1/(x-2)+2/(x+2) ?
The solution to 1/(x-2)+2/(x+2) is (3x-2)/((x-2)(x+2))