What is (6-2sqrt(x))^2 ?

The solution to (6-2sqrt(x))^2 is 36-24sqrt(x)+4x

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simplify (6-2sqrt(x))^2

simplify

(6 - 2 x)^{2}

36 - 24 x + 4 x

Solution steps

(6 - 2 x)^{2}

Apply Perfect Square Formula:

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

(6 - 2 x)^{2} = 6^{2} - 2 \cdot 6 \cdot 2 x + (2 x)^{2}

= 6^{2} - 2 \cdot 6 \cdot 2 x + (2 x)^{2}

6^{2} = 36

- 2 \cdot 6 \cdot 2 x = - 24 x

(2 x)^{2} = 4 x

= 36 - 24 x + 4 x

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