What is (4-xsqrt(7))^2 ?

The solution to (4-xsqrt(7))^2 is 16-8sqrt(7)x+7x^2

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simplify (4-xsqrt(7))^2

simplify

(4 - x 7)^{2}

16 - 87 x + 7 x^{2}

Solution steps

(4 - x 7)^{2}

Apply Perfect Square Formula:

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

(4 - x 7)^{2} = 4^{2} - 2 \cdot 4 x 7 + (x 7)^{2}

= 4^{2} - 2 \cdot 4 x 7 + (x 7)^{2}

4^{2} = 16

- 2 \cdot 4 x 7 = - 87 x

(x 7)^{2} = 7 x^{2}

= 16 - 87 x + 7 x^{2}

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