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

(e^{x} + 1)^{2}

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(1 + cos (θ))^{2}

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