What is (3-xsqrt(3))^2 ?

The solution to (3-xsqrt(3))^2 is 9-6sqrt(3)x+3x^2

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simplify (3-xsqrt(3))^2

simplify

(3 - x 3)^{2}

9 - 63 x + 3 x^{2}

Solution steps

(3 - x 3)^{2}

Apply Perfect Square Formula:

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

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

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

3^{2} = 9

- 2 \cdot 3 x 3 = - 63 x

(x 3)^{2} = 3 x^{2}

= 9 - 63 x + 3 x^{2}

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