What is (x-10)(4/(x-10)+4(100-x)) ?

The solution to (x-10)(4/(x-10)+4(100-x)) is -4x^2+440x-3996

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simplify (x-10)(4/(x-10)+4(100-x))

simplify

(x - 10) (\frac{4}{x - 10} + 4 (100 - x))

- 4 x^{2} + 440 x - 3996

Solution steps

(x - 10) (\frac{4}{x - 10} + 4 (100 - x))

Join

\frac{4}{x - 10} + 4 (100 - x) : \frac{- 4 x ^{2} + 440 x - 3996}{x - 10}

= (x - 10) \frac{- 4 x ^{2} + 440 x - 3996}{x - 10}

Cross-cancel common factor:

x - 10

= - 4 x^{2} + 440 x - 3996

3 + 3 \cdot x \cdot (y^{'} (x))^{2} + (x - 4) \cdot y \cdot y^{'} (x)

x^{e - 5 x - 2} (9 e - 45 x) (e - 5 x - 1)

(x^{2})^{4}

(- 2 - 3 i)^{4}

\frac{2 x ^{3} + 3 x + 23}{( 2 x + 1 ) ( x ^{2} + 4 )}

What is (x-10)(4/(x-10)+4(100-x)) ?
The solution to (x-10)(4/(x-10)+4(100-x)) is -4x^2+440x-3996