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

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

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simplify (sqrt(x)+y)^2

simplify

(x + y)^{2}

x + 2 y x + y^{2}

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

2 x y = 2 y x

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

\frac{1}{2} (6 e - 3 f - \frac{3}{4})

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

(3 - i)^{5}

(a - b) (a + b)

\frac{1}{x ( x - 1 )}