What is (7/(x-12)+8(100-x))(x-12) ?

The solution to (7/(x-12)+8(100-x))(x-12) is -8x^2+896x-9593

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simplify (7/(x-12)+8(100-x))(x-12)

simplify

(\frac{7}{x - 12} + 8 (100 - x)) (x - 12)

- 8 x^{2} + 896 x - 9593

Solution steps

(\frac{7}{x - 12} + 8 (100 - x)) (x - 12)

Join

\frac{7}{x - 12} + 8 (100 - x) : \frac{- 8 x ^{2} + 896 x - 9593}{x - 12}

= \frac{- 8 x ^{2} + 896 x - 9593}{x - 12} (x - 12)

Cross-cancel common factor:

x - 12

= - 8 x^{2} + 896 x - 9593

- \frac{5 ( 5 + 438 1 ^{\frac{1}{2}} )}{11}

\frac{1}{( 1 + \frac{4}{x} ) ^{3}}

\frac{10}{( s + 1 ) ( s + 2 ) ( s + 3 )}

(sec (x) + tan (x)) (cos (x))

\frac{x + 2}{3 x} + \frac{2 - 3 x ^{3}}{9 x ^{3}}

What is (7/(x-12)+8(100-x))(x-12) ?
The solution to (7/(x-12)+8(100-x))(x-12) is -8x^2+896x-9593