What is x/(x+2)-6/(x-1) ?

The solution to x/(x+2)-6/(x-1) is (x^2-7x-12)/((x+2)(x-1))

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simplify x/(x+2)-6/(x-1)

simplify

\frac{x}{x + 2} - \frac{6}{x - 1}

\frac{x ^{2} - 7 x - 12}{( x + 2 ) ( x - 1 )}

Solution steps

\frac{x}{x + 2} - \frac{6}{x - 1}

Least Common Multiplier of

x + 2, x - 1 : (x + 2) (x - 1)

Adjust Fractions based on the LCM

= \frac{x ( x - 1 )}{( x + 2 ) ( x - 1 )} - \frac{6 ( x + 2 )}{( x + 2 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{x ( x - 1 ) - 6 ( x + 2 )}{( x + 2 ) ( x - 1 )}

Simplify

x (x - 1) - 6 (x + 2) : x^{2} - 7 x - 12

= \frac{x ^{2} - 7 x - 12}{( x + 2 ) ( x - 1 )}

9 a^{3} - a

\frac{1}{4} g + 6 g - \frac{2}{3}

(x + 5)^{2} - 4

\frac{7}{6} + \frac{2}{3}

3 (2 a^{2} b)^{3}

What is x/(x+2)-6/(x-1) ?
The solution to x/(x+2)-6/(x-1) is (x^2-7x-12)/((x+2)(x-1))