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

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

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

simplify

(x - y)^{2}

x - 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}

(x)^{2} = x

(y)^{2} = y

= x - 2 x y + y

(x + y) (x - y)

(x - 3) (x + 3)

(z - i)^{2}

(4 - x^{\frac{1}{2}})^{2}

t (e^{t} + e^{2 t})^{2}

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