en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 216(s+s')^8

Solution

expand

216 (s + s^{'})^{8}

Solution

216 s^{8} + 1728 s^{7} s' + 6048 s^{6} (s')^{2} + 12096 s^{5} (s')^{3} + 15120 s^{4} (s')^{4} + 12096 s^{3} (s')^{5} + 6048 s^{2} (s')^{6} + 1728 s (s')^{7} + 216 (s')^{8}

Solution steps

216 (s + s^{'})^{8}

(s + s^{'})^{8} = s^{8} + 8 s^{7} s^{'} + 28 s^{6} (s^{'})^{2} + 56 s^{5} (s^{'})^{3} + 70 s^{4} (s^{'})^{4} + 56 s^{3} (s^{'})^{5} + 28 s^{2} (s^{'})^{6} + 8 s (s^{'})^{7} + (s^{'})^{8}

= 216 (s^{8} + 8 s^{7} s^{^{'}} + 28 s^{6} (s^{^{'}})^{2} + 56 s^{5} (s^{^{'}})^{3} + 70 s^{4} (s^{^{'}})^{4} + 56 s^{3} (s^{^{'}})^{5} + 28 s^{2} (s^{^{'}})^{6} + 8 s (s^{^{'}})^{7} + (s^{^{'}})^{8})

Distribute parentheses

= 216 s^{8} + 216 \cdot 8 s^{7} s^{^{'}} + 216 \cdot 28 s^{6} (s^{^{'}})^{2} + 216 \cdot 56 s^{5} (s^{^{'}})^{3} + 216 \cdot 70 s^{4} (s^{^{'}})^{4} + 216 \cdot 56 s^{3} (s^{^{'}})^{5} + 216 \cdot 28 s^{2} (s^{^{'}})^{6} + 216 \cdot 8 s (s^{^{'}})^{7} + 216 (s^{^{'}})^{8}

Simplify

216 s^{8} + 216 \cdot 8 s^{7} s^{'} + 216 \cdot 28 s^{6} (s^{'})^{2} + 216 \cdot 56 s^{5} (s^{'})^{3} + 216 \cdot 70 s^{4} (s^{'})^{4} + 216 \cdot 56 s^{3} (s^{'})^{5} + 216 \cdot 28 s^{2} (s^{'})^{6} + 216 \cdot 8 s (s^{'})^{7} + 216 (s^{'})^{8} : 216 s^{8} + 1728 s^{7} s^{'} + 6048 s^{6} (s^{'})^{2} + 12096 s^{5} (s^{'})^{3} + 15120 s^{4} (s^{'})^{4} + 12096 s^{3} (s^{'})^{5} + 6048 s^{2} (s^{'})^{6} + 1728 s (s^{'})^{7} + 216 (s^{'})^{8}

= 216 s^{8} + 1728 s^{7} s^{'} + 6048 s^{6} (s^{'})^{2} + 12096 s^{5} (s^{'})^{3} + 15120 s^{4} (s^{'})^{4} + 12096 s^{3} (s^{'})^{5} + 6048 s^{2} (s^{'})^{6} + 1728 s (s^{'})^{7} + 216 (s^{'})^{8}

Popular Examples

expand (27(-x+11))/2 expand

\frac{27 ( - x + 11 )}{2}

expand ((b+4)*(a+4))/2 expand

\frac{( b + 4 ) \cdot ( a + 4 )}{2}

derivative of (x-1\times (x+1)^2)

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

expand magnitud(-4,-8)expand

ma g ni t u d (- 4, - 8)

expand sin(8(pi/6+(pin)/4))expand

sin (8 (\frac{π}{6} + \frac{πn}{4}))

Frequently Asked Questions (FAQ)

What is expand 216(s+s')^8 ?
The solution to expand 216(s+s')^8 is