What is expand (ax^2(3-x))/(e^x) ?

The solution to expand (ax^2(3-x))/(e^x) is (3ax^2)/(e^x)-(ax^3)/(e^x)

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expand (ax^2(3-x))/(e^x)

expand

\frac{a x ^{2} ( 3 - x )}{e ^{x}}

\frac{3 a x ^{2}}{e ^{x}} - \frac{a x ^{3}}{e ^{x}}

Solution steps

\frac{a x ^{2} ( 3 - x )}{e ^{x}}

Expand

a x^{2} (3 - x) : 3 a x^{2} - a x^{3}

= \frac{3 a x ^{2} - a x ^{3}}{e ^{x}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{3 a x ^{2} - a x ^{3}}{e ^{x}} = \frac{3 a x ^{2}}{e ^{x}} - \frac{a x ^{3}}{e ^{x}}

= \frac{3 a x ^{2}}{e ^{x}} - \frac{a x ^{3}}{e ^{x}}

(x + y)^{2} (x \frac{d y}{d x} + y)

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

\frac{d ^{3}}{d x ^{3}} ((y) (x^{3} + 3 x^{2} + 6 x))

(x \cdot y = 5, x + y = 7) x + y

4 (x - 411)

What is expand (ax^2(3-x))/(e^x) ?
The solution to expand (ax^2(3-x))/(e^x) is (3ax^2)/(e^x)-(ax^3)/(e^x)