What is (x+3}{x-8}-\frac{x-4)/x ?

The solution to (x+3}{x-8}-\frac{x-4)/x is (15x-32)/(x(x-8))

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simplify (x+3}{x-8}-\frac{x-4)/x

simplify

\frac{x + 3}{x - 8} - \frac{x - 4}{x}

\frac{15 x - 32}{x ( x - 8 )}

Solution steps

\frac{x + 3}{x - 8} - \frac{x - 4}{x}

Least Common Multiplier of

x - 8, x : x (x - 8)

Adjust Fractions based on the LCM

= \frac{( x + 3 ) x}{x ( x - 8 )} - \frac{( x - 4 ) ( x - 8 )}{x ( x - 8 )}

Apply the fraction rule:

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

= \frac{( x + 3 ) x - ( x - 4 ) ( x - 8 )}{x ( x - 8 )}

Simplify

(x + 3) x - (x - 4) (x - 8) : 15 x - 32

= \frac{15 x - 32}{x ( x - 8 )}

\frac{11 - 3}{11 + 3}

7 r + 14 s

(4 a b^{2} + 2 c) (- 2 a b^{2} + c)

\frac{( 4 w ^{- 1} c ^{4} ) ^{- 5}}{5 c ^{- 3}}

1 - \frac{4}{9} a^{8}

What is (x+3}{x-8}-\frac{x-4)/x ?
The solution to (x+3}{x-8}-\frac{x-4)/x is (15x-32)/(x(x-8))