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

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

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

simplify

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

(x)^{2} = x

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

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

(3 x^{2} y + 2 x y + y^{3}) e^{3 x}

l (e^{4 t} sin (t) - e^{2 t} cos (4 t))

\frac{6}{y} \cdot \frac{( x + y )}{4}

x^{\frac{2}{3}} \cdot (\frac{5}{2} - x)