What is (3-3sqrt(x))^2 ?

The solution to (3-3sqrt(x))^2 is 9-18sqrt(x)+9x

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simplify (3-3sqrt(x))^2

simplify

(3 - 3 x)^{2}

9 - 18 x + 9 x

Solution steps

(3 - 3 x)^{2}

Apply Perfect Square Formula:

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

(3 - 3 x)^{2} = 3^{2} - 2 \cdot 3 \cdot 3 x + (3 x)^{2}

= 3^{2} - 2 \cdot 3 \cdot 3 x + (3 x)^{2}

3^{2} = 9

- 2 \cdot 3 \cdot 3 x = - 18 x

(3 x)^{2} = 9 x

= 9 - 18 x + 9 x

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