What is (6/(x-6)+2(100-x))(x-6) ?

The solution to (6/(x-6)+2(100-x))(x-6) is -2x^2+212x-1194

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simplify (6/(x-6)+2(100-x))(x-6)

simplify

(\frac{6}{x - 6} + 2 (100 - x)) (x - 6)

- 2 x^{2} + 212 x - 1194

Solution steps

(\frac{6}{x - 6} + 2 (100 - x)) (x - 6)

Join

\frac{6}{x - 6} + 2 (100 - x) : \frac{- 2 x ^{2} + 212 x - 1194}{x - 6}

= \frac{- 2 x ^{2} + 212 x - 1194}{x - 6} (x - 6)

Cross-cancel common factor:

x - 6

= - 2 x^{2} + 212 x - 1194

a (5, - 2) b (- 1, 2)

(x + 2) \cdot e^{x - 1}

\frac{6 s + 7}{( s ^{2} + 6 s + 25 ) ^{2}}

(x + 2) (x + 3) (x - 3)

(sec (x) - tan (x)) (csc (x) - 1)

What is (6/(x-6)+2(100-x))(x-6) ?
The solution to (6/(x-6)+2(100-x))(x-6) is -2x^2+212x-1194