What is (x-16)*(2/(x-16)+300-3x) ?

The solution to (x-16)*(2/(x-16)+300-3x) is -3x^2+348x-4798

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simplify (x-16)*(2/(x-16)+300-3x)

simplify

(x - 16) \cdot (\frac{2}{x - 16} + 300 - 3 x)

- 3 x^{2} + 348 x - 4798

Solution steps

(x - 16) (\frac{2}{x - 16} + 300 - 3 x)

Join

\frac{2}{x - 16} + 300 - 3 x : \frac{- 3 x ^{2} + 348 x - 4798}{x - 16}

= (x - 16) \frac{- 3 x ^{2} + 348 x - 4798}{x - 16}

Cross-cancel common factor:

x - 16

= - 3 x^{2} + 348 x - 4798

(- 4 x + 1) (x - 2)

(x^{2} y^{2} = \frac{y}{x} + 2 c x) \cdot x

(x - 2) (x + 1) (x - 3 i) (x + 3 i)

(x + 25) (x - 25) (x + 3)

(1 + \frac{1}{4} y)^{6}

What is (x-16)*(2/(x-16)+300-3x) ?
The solution to (x-16)*(2/(x-16)+300-3x) is -3x^2+348x-4798