What is expand e^{3x}*(3x^2y+2xy+y^3) ?

The solution to expand e^{3x}*(3x^2y+2xy+y^3) is 3e^{3x}x^2y+2e^{3x}xy+e^{3x}y^3

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expand e^{3x}*(3x^2y+2xy+y^3)

expand

e^{3 x} \cdot (3 x^{2} y + 2 x y + y^{3})

3 e^{3 x} x^{2} y + 2 e^{3 x} x y + e^{3 x} y^{3}

Solution steps

e^{3 x} (3 x^{2} y + 2 x y + y^{3})

Distribute parentheses

= e^{3 x} \cdot 3 x^{2} y + e^{3 x} \cdot 2 x y + e^{3 x} y^{3}

= 3 e^{3 x} x^{2} y + 2 e^{3 x} x y + e^{3 x} y^{3}

e^{2} t (sin (2 t) - 1)

sinh ((x - b) (x - c)) (2 x - c - b)

(x + 1) \cdot (x + 2)

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

(\frac{x}{6} + 1)^{4}

What is expand e^{3x}*(3x^2y+2xy+y^3) ?
The solution to expand e^{3x}*(3x^2y+2xy+y^3) is 3e^{3x}x^2y+2e^{3x}xy+e^{3x}y^3