What is expand (2e^x+2xe^x-1)^2 ?

The solution to expand (2e^x+2xe^x-1)^2 is 8e^{2x}x+4e^{2x}x^2-4e^xx+4e^{2x}-4e^x+1

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expand (2e^x+2xe^x-1)^2

expand

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

8 e^{2 x} x + 4 e^{2 x} x^{2} - 4 e^{x} x + 4 e^{2 x} - 4 e^{x} + 1

Solution steps

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

= (2 e^{x} + 2 e^{x} x - 1)^{2}

(2 e^{x} + 2 x e^{x} - 1)^{2} = (2 e^{x} + 2 x e^{x} - 1) (2 e^{x} + 2 x e^{x} - 1)

= (2 e^{x} x + 2 e^{x} - 1) (2 e^{x} x + 2 e^{x} - 1)

Expand

(2 e^{x} + 2 x e^{x} - 1) (2 e^{x} + 2 x e^{x} - 1) : 8 e^{2 x} x + 4 e^{2 x} x^{2} - 4 e^{x} x + 4 e^{2 x} - 4 e^{x} + 1

= 8 e^{2 x} x + 4 e^{2 x} x^{2} - 4 e^{x} x + 4 e^{2 x} - 4 e^{x} + 1

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

C (n, n - 1)

9 (π + \frac{π}{2})

I n (9 x (2 x + 5))

What is expand (2e^x+2xe^x-1)^2 ?
The solution to expand (2e^x+2xe^x-1)^2 is 8e^{2x}x+4e^{2x}x^2-4e^xx+4e^{2x}-4e^x+1