What is expand (sqrt(x)+sqrt(y))^2 ?

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

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expand (sqrt(x)+sqrt(y))^2

expand

(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}

Simplify

(x)^{2} + 2 x y + (y)^{2} : x + 2 x y + y

= x + 2 x y + y

\frac{1}{3} cos^{4} (x) + sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})

(1 + x^{2}) \cdot 1 + x^{2}

\frac{8}{3} \cdot (ln (2) - \frac{1}{3})

y^{'} (x) (2 x + 1)^{3}

\frac{1}{48} (x - 5) (x - 3)

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