What is (8x)/(x-6)-x/(x+6) ?

The solution to (8x)/(x-6)-x/(x+6) is (7x^2+54x)/((x-6)(x+6))

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simplify (8x)/(x-6)-x/(x+6)

simplify

\frac{8 x}{x - 6} - \frac{x}{x + 6}

\frac{7 x ^{2} + 54 x}{( x - 6 ) ( x + 6 )}

Solution steps

\frac{8 x}{x - 6} - \frac{x}{x + 6}

Least Common Multiplier of

x - 6, x + 6 : (x - 6) (x + 6)

Adjust Fractions based on the LCM

= \frac{8 x ( x + 6 )}{( x - 6 ) ( x + 6 )} - \frac{x ( x - 6 )}{( x - 6 ) ( x + 6 )}

Apply the fraction rule:

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

= \frac{8 x ( x + 6 ) - x ( x - 6 )}{( x - 6 ) ( x + 6 )}

Simplify

8 x (x + 6) - x (x - 6) : 7 x^{2} + 54 x

= \frac{7 x ^{2} + 54 x}{( x - 6 ) ( x + 6 )}

(x + 2) (x)

\frac{9 a ^{6} ( - 2 ) ^{9} b ^{9}}{3 a ^{2} ( - 2 ) ^{3} b ^{3}}

x - (- 1)

(3 x + 1) (2 x^{2} + x - 7)

(2 x + 2) (x + 2)

What is (8x)/(x-6)-x/(x+6) ?
The solution to (8x)/(x-6)-x/(x+6) is (7x^2+54x)/((x-6)(x+6))