What is expand (x^2-5)*e^{x-3} ?

The solution to expand (x^2-5)*e^{x-3} is e^{x-3}x^2-5e^{x-3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2-5)*e^{x-3}

expand

(x^{2} - 5) \cdot e^{x - 3}

e^{x - 3} x^{2} - 5 e^{x - 3}

Solution steps

(x^{2} - 5) e^{x - 3}

= e^{x - 3} (x^{2} - 5)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{x - 3}, b = x^{2}, c = 5

= e^{x - 3} x^{2} - e^{x - 3} \cdot 5

= e^{x - 3} x^{2} - 5 e^{x - 3}

\frac{s ^{2} + 2 s + 3}{( s + 1 ) ^{3}}

2 (\frac{3}{e ^{4}} + \frac{3}{e ^{16}} + \frac{3}{e ^{36}})

x^{2} (3 x + \frac{1}{x ^{3}})

(1 + sec (a)) (1 - sec (a))

, 5 (3 - x) e^{x}

What is expand (x^2-5)*e^{x-3} ?
The solution to expand (x^2-5)*e^{x-3} is e^{x-3}x^2-5e^{x-3}