What is (2-sqrt(8-x))^2 ?

The solution to (2-sqrt(8-x))^2 is -x-4sqrt(8-x)+12

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simplify (2-sqrt(8-x))^2

simplify

(2 - 8 - x)^{2}

- x - 4 8 - x + 12

Solution steps

(2 - 8 - x)^{2}

Apply Perfect Square Formula:

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

(2 - 8 - x)^{2} = 2^{2} - 2 \cdot 2 8 - x + (8 - x)^{2}

= 2^{2} - 2 \cdot 2 8 - x + (8 - x)^{2}

Simplify

2^{2} - 2 \cdot 2 8 - x + (8 - x)^{2} : - x - 4 8 - x + 12

= - x - 4 8 - x + 12

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