What is (3/(x-16)+5(100-x))(x-16) ?

The solution to (3/(x-16)+5(100-x))(x-16) is -5x^2+580x-7997

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simplify (3/(x-16)+5(100-x))(x-16)

simplify

(\frac{3}{x - 16} + 5 (100 - x)) (x - 16)

- 5 x^{2} + 580 x - 7997

Solution steps

(\frac{3}{x - 16} + 5 (100 - x)) (x - 16)

Join

\frac{3}{x - 16} + 5 (100 - x) : \frac{- 5 x ^{2} + 580 x - 7997}{x - 16}

= \frac{- 5 x ^{2} + 580 x - 7997}{x - 16} (x - 16)

Cross-cancel common factor:

x - 16

= - 5 x^{2} + 580 x - 7997

\frac{4}{( x ^{2} - 1 ) ^{2}}

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

(2 x - 5) l e f t (4 x - 4)

2 (x + \frac{1}{4}) \cdot (x - 3)

(3 x + 7) (3 x - 7)

What is (3/(x-16)+5(100-x))(x-16) ?
The solution to (3/(x-16)+5(100-x))(x-16) is -5x^2+580x-7997