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

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

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

expand

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

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

Solution steps

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

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(10 - 2)^{2}

x^{5} - 10 + 3 (2 x^{0.2}) 3 x - 1 + 6

(x - 1) (2 - x) (1 - x^{2})

1250 - 0.5 x^{2} + \frac{100 ( 2500 - x )}{0.02 x + 1}

(x^{2} - 49) (2 + x - 3)

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