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

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

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simplify (x-sqrt(y))^2

simplify

(x - y)^{2}

x^{2} - 2 x y + y

Solution steps

(x - y)^{2}

Apply Perfect Square Formula:

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

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

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

Apply exponent rule:

assuming

n i s o dd or a \geq 0

(y)^{2} = y

= x^{2} - 2 x y + y

\frac{a}{2 a}

2 - (\frac{4}{3})^{2}

\frac{2 x ^{2} + x - 3}{x ^{2} - 3 x + 2}

(- 1 + i) \cdot (2 + 3 i)

3 x^{- 4} y^{2}