What is (x+5)/(x-8)-x ?

The solution to (x+5)/(x-8)-x is (-x^2+9x+5)/(x-8)

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simplify (x+5)/(x-8)-x

simplify

\frac{x + 5}{x - 8} - x

\frac{- x ^{2} + 9 x + 5}{x - 8}

Solution steps

\frac{x + 5}{x - 8} - x

Apply the fraction rule:

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

= \frac{- x ( x - 8 ) + x + 5}{x - 8}

Simplify

- x (x - 8) + x + 5 : - x^{2} + 9 x + 5

= \frac{- x ^{2} + 9 x + 5}{x - 8}

36 x^{9}

(2 + 5)^{2}

- 1 x - 1

lo g_{4} (50)

(1 + x) (1 + x)