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

The solution to (sqrt(x)-x^2)^2 is x-2x^2sqrt(x)+x^4

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x - x^{2})^{2} = (x)^{2} - 2 x x^{2} + (x^{2})^{2}

= (x)^{2} - 2 x x^{2} + (x^{2})^{2}

(x)^{2} = x

- 2 x x^{2} = - 2 x^{2} x

(x^{2})^{2} = x^{4}

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

(2 t, s + t cos^{2} (s) + s^{2} t^{4}) (t cos (s))

(x + \frac{5 - 1}{2}) (x + \frac{- 1 - 5}{2})

\frac{5}{( x - 3 ) ( x + 2 )}

(- 2 + 2 i)^{5}

(1 + t)^{2}