What is (5/(x-16)+7(100-x))(x-16) ?

The solution to (5/(x-16)+7(100-x))(x-16) is -7x^2+812x-11195

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simplify (5/(x-16)+7(100-x))(x-16)

simplify

(\frac{5}{x - 16} + 7 (100 - x)) (x - 16)

- 7 x^{2} + 812 x - 11195

Solution steps

(\frac{5}{x - 16} + 7 (100 - x)) (x - 16)

Join

\frac{5}{x - 16} + 7 (100 - x) : \frac{- 7 x ^{2} + 812 x - 11195}{x - 16}

= \frac{- 7 x ^{2} + 812 x - 11195}{x - 16} (x - 16)

Cross-cancel common factor:

x - 16

= - 7 x^{2} + 812 x - 11195

2 x^{2} - x^{2}

(2 n - 1)!

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

(a^{2} b + \frac{8}{3}) (a^{2} b - \frac{8}{3})

\frac{x + 1}{x ( x + 5 )}

What is (5/(x-16)+7(100-x))(x-16) ?
The solution to (5/(x-16)+7(100-x))(x-16) is -7x^2+812x-11195