What is expand (Ax^2+Bx+C)e^x ?

The solution to expand (Ax^2+Bx+C)e^x is Ae^xx^2+Be^xx+Ce^x

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expand (Ax^2+Bx+C)e^x

expand

(A x^{2} + B x + C) e^{x}

A e^{x} x^{2} + B e^{x} x + C e^{x}

Solution steps

(A x^{2} + B x + C) e^{x}

= e^{x} (A x^{2} + B x + C)

Distribute parentheses

= e^{x} A x^{2} + e^{x} B x + e^{x} C

= A e^{x} x^{2} + B e^{x} x + C e^{x}

(2 - x - 3) (x - 1 + 2)

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

c u r l (x^{2} y, yz, x - z)

x^{2} + (\frac{4 x}{x - 2})^{2}

\frac{3 x}{2} - \frac{3}{2 π} (100 - 3 x)

What is expand (Ax^2+Bx+C)e^x ?
The solution to expand (Ax^2+Bx+C)e^x is Ae^xx^2+Be^xx+Ce^x