What is (sqrt(x)-x^2)/(1-sqrt(x)) ?

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

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simplify (sqrt(x)-x^2)/(1-sqrt(x))

simplify

\frac{x - x ^{2}}{1 - x}

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

Solution steps

\frac{x - x ^{2}}{1 - x}

Multiply by the conjugate

\frac{1 + x}{1 + x}

= \frac{( x - x ^{2} ) ( 1 + x )}{( 1 - x ) ( 1 + x )}

(1 - x) (1 + x) = 1 - x

= \frac{( x - x ^{2} ) ( 1 + x )}{1 - x}

- 24 x + 32

(- 3 x - 2) (6 x^{5} + 4 x - 2 x^{2} - 7)

5 + (- 8)

\frac{1}{a} + \frac{1}{b} + \frac{1}{c}

\frac{2}{8} + \frac{3}{8}

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