What is (x-3sqrt(7))^2 ?

The solution to (x-3sqrt(7))^2 is x^2-6sqrt(7)x+63

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simplify (x-3sqrt(7))^2

simplify

(x - 37)^{2}

x^{2} - 67 x + 63

Solution steps

(x - 37)^{2}

Apply Perfect Square Formula:

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

(x - 37)^{2} = x^{2} - 2 x \cdot 37 + (37)^{2}

= x^{2} - 2 x \cdot 37 + (37)^{2}

- 2 x \cdot 37 = - 67 x

(37)^{2} = 63

= x^{2} - 67 x + 63

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