What is (x-sqrt(5))^2 ?

The solution to (x-sqrt(5))^2 is x^2-2sqrt(5)x+5

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simplify (x-sqrt(5))^2

simplify

(x - 5)^{2}

x^{2} - 25 x + 5

Solution steps

(x - 5)^{2}

Apply Perfect Square Formula:

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

(x - 5)^{2} = x^{2} - 2 x 5 + (5)^{2}

= x^{2} - 2 x 5 + (5)^{2}

- 2 x 5 = - 25 x

(5)^{2} = 5

= x^{2} - 25 x + 5

(w - y)^{2}

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