What is x/(x+4)-6/(x-1) ?

The solution to x/(x+4)-6/(x-1) is (x^2-7x-24)/((x+4)(x-1))

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simplify x/(x+4)-6/(x-1)

simplify

\frac{x}{x + 4} - \frac{6}{x - 1}

\frac{x ^{2} - 7 x - 24}{( x + 4 ) ( x - 1 )}

Solution steps

\frac{x}{x + 4} - \frac{6}{x - 1}

Least Common Multiplier of

x + 4, x - 1 : (x + 4) (x - 1)

Adjust Fractions based on the LCM

= \frac{x ( x - 1 )}{( x + 4 ) ( x - 1 )} - \frac{6 ( x + 4 )}{( x + 4 ) ( x - 1 )}

Apply the fraction rule:

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

= \frac{x ( x - 1 ) - 6 ( x + 4 )}{( x + 4 ) ( x - 1 )}

Simplify

x (x - 1) - 6 (x + 4) : x^{2} - 7 x - 24

= \frac{x ^{2} - 7 x - 24}{( x + 4 ) ( x - 1 )}

\frac{2}{3} y - 2 (\frac{4}{3} y + z)

- 4 i \cdot i

\frac{- 1}{2} \div \frac{5}{4}

3 \cdot 4 x

2 \cdot x \cdot 2

What is x/(x+4)-6/(x-1) ?
The solution to x/(x+4)-6/(x-1) is (x^2-7x-24)/((x+4)(x-1))