What is (1-2sqrt(x))^2 ?

The solution to (1-2sqrt(x))^2 is 1-4sqrt(x)+4x

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simplify (1-2sqrt(x))^2

simplify

(1 - 2 x)^{2}

1 - 4 x + 4 x

Solution steps

(1 - 2 x)^{2}

Apply Perfect Square Formula:

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

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

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

1^{2} = 1

- 2 \cdot 1 \cdot 2 x = - 4 x

(2 x)^{2} = 4 x

= 1 - 4 x + 4 x

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