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

The solution to (sqrt(x)-7)^2 is x-14sqrt(x)+49

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simplify (sqrt(x)-7)^2

simplify

(x - 7)^{2}

x - 14 x + 49

Solution steps

(x - 7)^{2}

Apply Perfect Square Formula:

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

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

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

(x)^{2} = x

- 2 x \cdot 7 = - 14 x

7^{2} = 49

= x - 14 x + 49

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