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

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

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

simplify

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

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

Solution steps

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

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

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

= \frac{x \cdot 1 + x x - x ^{2} \cdot 1 - x ^{2} x}{1 - x}

Simplify

x \cdot 1 + x x - x^{2} \cdot 1 - x^{2} x : x + x - x^{2} - x^{2} x

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

(- 9, 7) y (- 9, - 1)

\frac{( 5 y + 1 ) ^{2}}{25}

(x + 3) l e f t (x - 4)

\frac{1}{s ^{2} ( s + 6 )}

(- 2 y = (- 1)^{n + 1} + 1) \cdot (- 1)

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