What is (x-x^2)/(sqrt(x)) ?

The solution to (x-x^2)/(sqrt(x)) is (1-x)sqrt(x)

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simplify (x-x^2)/(sqrt(x))

simplify

\frac{x - x ^{2}}{x}

(1 - x) x

Solution steps

\frac{x - x ^{2}}{x}

Factor

x - x^{2} : x (1 - x)

= \frac{x ( 1 - x )}{x}

Apply radical rule:

a = a a

x = x x

= \frac{x x ( 1 - x )}{x}

Cancel the common factor:

x

= x (1 - x)

= (1 - x) x

- 9 \times 6

- 1 - \frac{9}{2}

\frac{15}{63}

7 \times 1 0^{- 6}

7 \times 1 0^{- 3}