What is expand (x^{1/2}-x)^2 ?

The solution to expand (x^{1/2}-x)^2 is x-2x^{3/2}+x^2

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expand (x^{1/2}-x)^2

expand

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

x - 2 x^{\frac{3}{2}} + x^{2}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

2 x^{\frac{1}{2}} x = 2 x^{\frac{3}{2}}

= x - 2 x^{\frac{3}{2}} + x^{2}

4 (x + 5 - 2 x = 4)

\frac{9}{s ^{2} ( s ^{2} + 4 )}

- 3 (3 s + 5 m = 431)

(3 a + 1) (\frac{a ^{3}}{5} - a + 1)

(x - \frac{x ^{3}}{3 !} + \frac{x ^{5}}{5 !}) (\frac{2 x ^{6}}{45} - \frac{x ^{4}}{3} + x^{2})

What is expand (x^{1/2}-x)^2 ?
The solution to expand (x^{1/2}-x)^2 is x-2x^{3/2}+x^2