What is (p-sqrt(2))^2 ?

The solution to (p-sqrt(2))^2 is p^2-2sqrt(2)p+2

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simplify (p-sqrt(2))^2

simplify

(p - 2)^{2}

p^{2} - 22 p + 2

Solution steps

(p - 2)^{2}

Apply Perfect Square Formula:

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

(p - 2)^{2} = p^{2} - 2 p 2 + (2)^{2}

= p^{2} - 2 p 2 + (2)^{2}

- 2 p 2 = - 22 p

(2)^{2} = 2

= p^{2} - 22 p + 2

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