Expand ( 1 + x + x² )³ using binomial expansion.
Answers
Answered by
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)
(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)
prem33:
i not fully solved because you can also solved and i have to give you hint if you will solve you get remember this
Answered by
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+
_______________________________________________
Similar questions