What is (x-8)(8/(x-8)+9(100-x)) ?

The solution to (x-8)(8/(x-8)+9(100-x)) is -9x^2+972x-7192

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simplify (x-8)(8/(x-8)+9(100-x))

simplify

(x - 8) (\frac{8}{x - 8} + 9 (100 - x))

- 9 x^{2} + 972 x - 7192

Solution steps

(x - 8) (\frac{8}{x - 8} + 9 (100 - x))

Join

\frac{8}{x - 8} + 9 (100 - x) : \frac{- 9 x ^{2} + 972 x - 7192}{x - 8}

= (x - 8) \frac{- 9 x ^{2} + 972 x - 7192}{x - 8}

Cross-cancel common factor:

x - 8

= - 9 x^{2} + 972 x - 7192

i (x + i y)^{3}

(sin (θ) + 3) (sin (θ) - 4)

\frac{( 2 x + 5 ) ( 2 x + 1 )}{3 x ( 2 x - 1 )}

(x^{4})^{2}

What is (x-8)(8/(x-8)+9(100-x)) ?
The solution to (x-8)(8/(x-8)+9(100-x)) is -9x^2+972x-7192