en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^t(t+2)^2

Solution

expand

e^{t} (t + 2)^{2}

Solution

e^{t} t^{2} + 4 e^{t} t + 4 e^{t}

Solution steps

e^{t} (t + 2)^{2}

(t + 2)^{2} = t^{2} + 4 t + 4

= e^{t} (t^{2} + 4 t + 4)

Distribute parentheses

= e^{t} t^{2} + e^{t} \cdot 4 t + e^{t} \cdot 4

= e^{t} t^{2} + 4 e^{t} t + 4 e^{t}

Popular Examples

expand ((x-5)^2)/(x^2-16)expand

\frac{( x - 5 ) ^{2}}{x ^{2} - 16}

expand (2x)/((x-1)(x^2+25))expand

\frac{2 x}{( x - 1 ) ( x ^{2} + 25 )}

expand (-6,-14)y(2,18)expand

(- 6, - 14) y (2, 18)

simplify 1/2+1/4 (1.3-1)simplify

\frac{1}{2} + \frac{1}{4} (1.3 - 1)

expand (e^tsin(2t)+cos(2t)*2e^t)^2 expand

(e^{t} sin (2 t) + cos (2 t) \cdot 2 e^{t})^{2}

Frequently Asked Questions (FAQ)

What is expand e^t(t+2)^2 ?
The solution to expand e^t(t+2)^2 is e^tt^2+4e^tt+4e^t