Math, asked by Hacker20, 1 year ago

Expand ( 1 + x + x² )³ using binomial expansion.

Answers

Answered by prem33
16
let (1+x) as a and x^2 as b
(1+x)^3 + x^3 + 3 (1+x)(x^2) ( 1 +x+x^2)
1 + x^3 + 3x(1+x) +x^3 + 3(x^2+x^3)(1+x+x^2)

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Answered by sagacioux
33

Answer:

Let y=x+x2

Then, (1+x+x2)3

=(1+y)3=3C0+3C1+3C1+3C2y2+3C3y3

=1+3y+3y2+y3

=1+3(x+x2)+3(x+x2)2+(x+x2)3

=1+3(x+x2)+3(x2+2x3+x4)+{3C0x3x2)0+3C1(x2)x2)1+

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