What is (sqrt(x)-10)^2 ?

The solution to (sqrt(x)-10)^2 is x-20sqrt(x)+100

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simplify (sqrt(x)-10)^2

simplify

(x - 10)^{2}

x - 20 x + 100

Solution steps

(x - 10)^{2}

Apply Perfect Square Formula:

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

(x - 10)^{2} = (x)^{2} - 2 x \cdot 10 + 1 0^{2}

= (x)^{2} - 2 x \cdot 10 + 1 0^{2}

(x)^{2} = x

- 2 x \cdot 10 = - 20 x

1 0^{2} = 100

= x - 20 x + 100

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