What is (x+5}{x-4}-\frac{x-2)/x ?

The solution to (x+5}{x-4}-\frac{x-2)/x is (11x-8)/(x(x-4))

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simplify (x+5}{x-4}-\frac{x-2)/x

simplify

\frac{x + 5}{x - 4} - \frac{x - 2}{x}

\frac{11 x - 8}{x ( x - 4 )}

Solution steps

\frac{x + 5}{x - 4} - \frac{x - 2}{x}

Least Common Multiplier of

x - 4, x : x (x - 4)

Adjust Fractions based on the LCM

= \frac{( x + 5 ) x}{x ( x - 4 )} - \frac{( x - 2 ) ( x - 4 )}{x ( x - 4 )}

Apply the fraction rule:

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

= \frac{( x + 5 ) x - ( x - 2 ) ( x - 4 )}{x ( x - 4 )}

Simplify

(x + 5) x - (x - 2) (x - 4) : 11 x - 8

= \frac{11 x - 8}{x ( x - 4 )}

(lo g_{3} (2)) (lo g_{3} (4))

\frac{7}{7}

(- 4 x^{2} + 6 x) + (6 x^{2} - 2 x)

\frac{49}{2}

4 x^{2} - 1 - x^{2} + 2

What is (x+5}{x-4}-\frac{x-2)/x ?
The solution to (x+5}{x-4}-\frac{x-2)/x is (11x-8)/(x(x-4))