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

The solution to expand xye^2(1+z)^2-xe^x is e^2xy+2e^2xyz+e^2xyz^2-e^xx

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expand xye^2(1+z)^2-xe^x

expand

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

e^{2} x y + 2 e^{2} x yz + e^{2} x y z^{2} - e^{x} x

Solution steps

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

(1 + z)^{2} = 1 + 2 z + z^{2}

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

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

Expand

x y e^{2} (1 + 2 z + z^{2}) : e^{2} x y + 2 e^{2} x yz + e^{2} x y z^{2}

= e^{2} x y + 2 e^{2} x yz + e^{2} x y z^{2} - x e^{x}

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

(1 + sin (t)) d t

3 x + 4 (2 - x = 4 x + 5)

(\frac{3 !}{2 ! 1 !}) (\frac{3}{16})^{1} (\frac{4}{16})^{2}

2 π x - \frac{π}{2} (10 - π x)

What is expand xye^2(1+z)^2-xe^x ?
The solution to expand xye^2(1+z)^2-xe^x is e^2xy+2e^2xyz+e^2xyz^2-e^xx