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

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

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

simplify

(2 x - x)^{2}

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

Solution steps

(2 x - x)^{2}

Apply Perfect Square Formula:

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

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

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

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

- 2 \cdot 2 x x = - 4 x x

(x)^{2} = x

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

18 \cdot 3

(5 x^{2} - 4)^{2}

(\frac{x - 5}{y - 4})^{3}

- (\frac{2 y}{3})^{2}

3^{0} \cdot 3^{- 3}