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

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

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

expand

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

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

Solution steps

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

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

Apply Perfect Square Formula:

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

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

= (e^{2 x})^{2} + 2 e^{2 x} \cdot 2 x e^{2 x} + (2 x e^{2 x})^{2}

Simplify

(e^{2 x})^{2} + 2 e^{2 x} \cdot 2 x e^{2 x} + (2 x e^{2 x})^{2} : e^{4 x} + 4 e^{4 x} x + 4 e^{4 x} x^{2}

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

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

2 (r - \frac{3}{4} - 8 = 50)

(x - y - 4) d y - (x + y + 2) d x

\frac{M L ( - L + 1 )}{4}

5 (x + h) - g (x) + 2

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