What is (3/(x-8)+5(100-x))(x-8) ?

The solution to (3/(x-8)+5(100-x))(x-8) is -5x^2+540x-3997

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simplify (3/(x-8)+5(100-x))(x-8)

simplify

(\frac{3}{x - 8} + 5 (100 - x)) (x - 8)

- 5 x^{2} + 540 x - 3997

Solution steps

(\frac{3}{x - 8} + 5 (100 - x)) (x - 8)

Join

\frac{3}{x - 8} + 5 (100 - x) : \frac{- 5 x ^{2} + 540 x - 3997}{x - 8}

= \frac{- 5 x ^{2} + 540 x - 3997}{x - 8} (x - 8)

Cross-cancel common factor:

x - 8

= - 5 x^{2} + 540 x - 3997

\frac{( 1 - r )}{( z - r ) ( z - 1 )}

(10 - i)^{4}

(5 X + 7 y)^{2}

a (g - h = m)

\frac{1}{k ( n - k )}

What is (3/(x-8)+5(100-x))(x-8) ?
The solution to (3/(x-8)+5(100-x))(x-8) is -5x^2+540x-3997