What is expand x*(1-x-y)*e^y ?

The solution to expand x*(1-x-y)*e^y is e^yx-e^yx^2-e^yxy

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expand x(1-x-y)e^y

expand

x \cdot (1 - x - y) \cdot e^{y}

e^{y} x - e^{y} x^{2} - e^{y} x y

Solution steps

x (1 - x - y) e^{y}

= e^{y} x (1 - x - y)

Distribute parentheses

= x e^{y} \cdot 1 + x e^{y} (- x) + x e^{y} (- y)

Apply minus-plus rules

+ (- a) = - a

= 1 \cdot e^{y} x - e^{y} xx - e^{y} x y

Simplify

1 \cdot e^{y} x - e^{y} xx - e^{y} x y : e^{y} x - e^{y} x^{2} - e^{y} x y

= e^{y} x - e^{y} x^{2} - e^{y} x y

\frac{x ^{2} - 9}{x ( x ^{2} + 1 )}

(z^{2} (a) + z (b) + c) \cdot (z^{2} (d) + z (e) + f)

(x + \frac{10}{3}) (x + 10)

6 \cdot (- 2 + 2 x) \cdot (6 + t) \cdot (t^{2})

2 sin (π t) (u_{4} (t) - u_{5} (t))

What is expand x*(1-x-y)*e^y ?
The solution to expand x*(1-x-y)*e^y is e^yx-e^yx^2-e^yxy