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

The solution to (sqrt(7-x)-2)^2 is -x-4sqrt(7-x)+11

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

simplify

(7 - x - 2)^{2}

- x - 4 7 - x + 11

Solution steps

(7 - x - 2)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

(7 - x)^{2} - 2 7 - x \cdot 2 + 2^{2} : - x - 4 7 - x + 11

= - x - 4 7 - x + 11

5 (3 - 5)

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