What is expand ((t+2)^4)/2 ?

The solution to expand ((t+2)^4)/2 is (t^4)/2+4t^3+12t^2+16t+8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ((t+2)^4)/2

expand

\frac{( t + 2 ) ^{4}}{2}

\frac{t ^{4}}{2} + 4 t^{3} + 12 t^{2} + 16 t + 8

Solution steps

\frac{( t + 2 ) ^{4}}{2}

(t + 2)^{4} = t^{4} + 8 t^{3} + 24 t^{2} + 32 t + 16

= \frac{t ^{4} + 8 t ^{3} + 24 t ^{2} + 32 t + 16}{2}

Apply the fraction rule:

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

\frac{t ^{4} + 8 t ^{3} + 24 t ^{2} + 32 t + 16}{2} = \frac{t ^{4}}{2} + \frac{8 t ^{3}}{2} + \frac{24 t ^{2}}{2} + \frac{32 t}{2} + \frac{16}{2}

= \frac{t ^{4}}{2} + \frac{8 t ^{3}}{2} + \frac{24 t ^{2}}{2} + \frac{32 t}{2} + \frac{16}{2}

\frac{8 t ^{3}}{2} = 4 t^{3}

\frac{24 t ^{2}}{2} = 12 t^{2}

\frac{32 t}{2} = 16 t

\frac{16}{2} = 8

= \frac{t ^{4}}{2} + 4 t^{3} + 12 t^{2} + 16 t + 8

0.5 (2 x + 20) (5, 2) + 2 x (15 - 2 x)

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

\frac{5 x}{( 3 x - 2 ) ^{2}}

2 (1 + x)^{8} d x

sin (2 (t - w))

What is expand ((t+2)^4)/2 ?
The solution to expand ((t+2)^4)/2 is (t^4)/2+4t^3+12t^2+16t+8