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

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

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

simplify

(x - 2 x)^{2}

x^{2} - 4 x x + 4 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 x \cdot 2 x + (2 x)^{2}

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

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

(2 x)^{2} = 4 x

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

7 (ln (x^{2} - 4) + \frac{2 x ^{2}}{x ^{2} - 4})

(x + 6 - x) (x + 6 + x)

- \frac{- y ^{2} + x ^{2}}{2 y ( x ^{4} + y ^{4} + x + 2 x ^{2} y ^{2} )}

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