What is 6/(x+2)-4/(x-2) ?

The solution to 6/(x+2)-4/(x-2) is (2x-20)/((x+2)(x-2))

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simplify 6/(x+2)-4/(x-2)

simplify

\frac{6}{x + 2} - \frac{4}{x - 2}

\frac{2 x - 20}{( x + 2 ) ( x - 2 )}

Solution steps

\frac{6}{x + 2} - \frac{4}{x - 2}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{6 ( x - 2 )}{( x + 2 ) ( x - 2 )} - \frac{4 ( x + 2 )}{( x + 2 ) ( x - 2 )}

Apply the fraction rule:

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

= \frac{6 ( x - 2 ) - 4 ( x + 2 )}{( x + 2 ) ( x - 2 )}

Simplify

6 (x - 2) - 4 (x + 2) : 2 x - 20

= \frac{2 x - 20}{( x + 2 ) ( x - 2 )}

- (2 x - 1)^{2}

36 x^{2} + 36 x^{4}

\frac{x}{3} - \frac{2 x}{3}

\frac{y ^{- 4}}{y}

x^{3} \times (- 1)

What is 6/(x+2)-4/(x-2) ?
The solution to 6/(x+2)-4/(x-2) is (2x-20)/((x+2)(x-2))