What is expand (2t-3)e^{(t+2)/3} ?

The solution to expand (2t-3)e^{(t+2)/3} is 2e^{(t+2)/3}t-3e^{(t+2)/3}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2t-3)e^{(t+2)/3}

expand

(2 t - 3) e^{\frac{t + 2}{3}}

2 e^{\frac{t + 2}{3}} t - 3 e^{\frac{t + 2}{3}}

Solution steps

(2 t - 3) e^{\frac{t + 2}{3}}

= e^{\frac{t + 2}{3}} (2 t - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{\frac{t + 2}{3}}, b = 2 t, c = 3

= e^{\frac{t + 2}{3}} \cdot 2 t - e^{\frac{t + 2}{3}} \cdot 3

= 2 e^{\frac{t + 2}{3}} t - 3 e^{\frac{t + 2}{3}}

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

(3 + 4 i)^{4}

\frac{4 s + 2 s ^{2} - 8}{( s + 2 ) ^{2} ( s - 2 ) ^{2}}

\frac{1}{s ( s ^{2} + 4 )}

tan (x) (cot (x) + csc (x))

What is expand (2t-3)e^{(t+2)/3} ?
The solution to expand (2t-3)e^{(t+2)/3} is 2e^{(t+2)/3}t-3e^{(t+2)/3}