What is expand (x+e^{2x}y)^2 ?

The solution to expand (x+e^{2x}y)^2 is x^2+2e^{2x}xy+e^{4x}y^2

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expand (x+e^{2x}y)^2

expand

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

x^{2} + 2 e^{2 x} x y + e^{4 x} y^{2}

Solution steps

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

Apply Perfect Square Formula:

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

a = x, b = e^{2 x} y

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

(e^{2 x} y)^{2} = e^{4 x} y^{2}

= x^{2} + 2 e^{2 x} x y + e^{4 x} y^{2}

\frac{( ( ( x ^{3} - 2 x ) ^{5} ) )}{5}

ln (x) (x + 3)

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

(x - 3) (x - 4 - 4 i) (x + 4 + 4 i)

(e^{x} + e^{- x})^{4}

What is expand (x+e^{2x}y)^2 ?
The solution to expand (x+e^{2x}y)^2 is x^2+2e^{2x}xy+e^{4x}y^2