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

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

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

simplify

(x - 7)^{2}

x - 27 x + 7

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 7 + (7)^{2}

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

(x)^{2} = x

- 2 x 7 = - 27 x

(7)^{2} = 7

= x - 27 x + 7

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What is (sqrt(x)-sqrt(7))^2 ?
The solution to (sqrt(x)-sqrt(7))^2 is x-2sqrt(7)sqrt(x)+7