What is (7/(x-12)+5(100-x))(x-12) ?

The solution to (7/(x-12)+5(100-x))(x-12) is -5x^2+560x-5993

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simplify (7/(x-12)+5(100-x))(x-12)

simplify

(\frac{7}{x - 12} + 5 (100 - x)) (x - 12)

- 5 x^{2} + 560 x - 5993

Solution steps

(\frac{7}{x - 12} + 5 (100 - x)) (x - 12)

Join

\frac{7}{x - 12} + 5 (100 - x) : \frac{- 5 x ^{2} + 560 x - 5993}{x - 12}

= \frac{- 5 x ^{2} + 560 x - 5993}{x - 12} (x - 12)

Cross-cancel common factor:

x - 12

= - 5 x^{2} + 560 x - 5993

\frac{6 x ^{2} + 50}{( s ^{2} + 4 ) ( s + 3 )}

(a + b) (c + d + e)

- \frac{1}{4} sin^{3} (x) cos (x) + \frac{3}{8} (x - \frac{1}{2} sin (2 x))

(1 - \frac{5}{p})^{4}

\frac{- 5 x - 20}{( x - 3 ) ^{2}}

What is (7/(x-12)+5(100-x))(x-12) ?
The solution to (7/(x-12)+5(100-x))(x-12) is -5x^2+560x-5993