en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (a+be+ce^2+de^3)^3

Solution

expand

(a + b e + c e^{2} + d e^{3})^{3}

Solution

e^{3} b^{3} + 3 e^{2} a b^{2} + 3 e^{4} b^{2} c + 3 e^{5} b^{2} d + 3 e a^{2} b + 3 e^{5} b c^{2} + 6 e^{3} ab c + 3 e^{7} b d^{2} + 6 e^{4} ab d + 6 e^{6} b c d + a^{3} + e^{6} c^{3} + 3 e^{4} a c^{2} + 3 e^{2} a^{2} c + e^{9} d^{3} + 3 e^{6} a d^{2} + 3 e^{8} c d^{2} + 3 e^{3} a^{2} d + 6 e^{5} a c d + 3 e^{7} c^{2} d

Solution steps

(a + b e + c e^{2} + d e^{3})^{3}

= (a + e b + e^{2} c + e^{3} d)^{3}

(a + b e + c e^{2} + d e^{3})^{3} = (a + b e + c e^{2} + d e^{3}) (a + b e + c e^{2} + d e^{3}) (a + b e + c e^{2} + d e^{3})

= (a + e b + e^{2} c + e^{3} d) (a + e b + e^{2} c + e^{3} d) (a + e b + e^{2} c + e^{3} d)

Expand

(a + b e + c e^{2} + d e^{3}) (a + b e + c e^{2} + d e^{3}) (a + b e + c e^{2} + d e^{3}) : e^{3} b^{3} + 3 e^{2} a b^{2} + 3 e^{4} b^{2} c + 3 e^{5} b^{2} d + 3 e a^{2} b + 3 e^{5} b c^{2} + 6 e^{3} ab c + 3 e^{7} b d^{2} + 6 e^{4} ab d + 6 e^{6} b c d + a^{3} + e^{6} c^{3} + 3 e^{4} a c^{2} + 3 e^{2} a^{2} c + e^{9} d^{3} + 3 e^{6} a d^{2} + 3 e^{8} c d^{2} + 3 e^{3} a^{2} d + 6 e^{5} a c d + 3 e^{7} c^{2} d

= e^{3} b^{3} + 3 e^{2} a b^{2} + 3 e^{4} b^{2} c + 3 e^{5} b^{2} d + 3 e a^{2} b + 3 e^{5} b c^{2} + 6 e^{3} ab c + 3 e^{7} b d^{2} + 6 e^{4} ab d + 6 e^{6} b c d + a^{3} + e^{6} c^{3} + 3 e^{4} a c^{2} + 3 e^{2} a^{2} c + e^{9} d^{3} + 3 e^{6} a d^{2} + 3 e^{8} c d^{2} + 3 e^{3} a^{2} d + 6 e^{5} a c d + 3 e^{7} c^{2} d

Popular Examples

expand (1-y)e^yy^'+(y^2)/(xln(x))expand

(1 - y) e^{y} y^{^{'}} + \frac{y ^{2}}{x ln ( x )}

expand \sqrt[3]{x}*(1-2*x^2)expand

expand (x^2-x)(x-1)sqrt(2x+1)expand

(x^{2} - x) (x - 1) 2 x + 1

expand ((x^2+1)dx)/(x^2)expand

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

expand (4a^2mas^2ab,5b)mas(6a^2-7ab)expand

(4 a^{2} ma s^{2} ab, 5 b) ma s (6 a^{2} - 7 ab)

Frequently Asked Questions (FAQ)

What is expand (a+be+ce^2+de^3)^3 ?
The solution to expand (a+be+ce^2+de^3)^3 is