Question

(1+x)(1-x)(1-x+x^2)(1+x+x^2) = ?

(1+x)(1-x)(1-x+x^2)(1+x+x^2) = ?

@Mathematics

Answer 1

\[(a) 1+x^6\]
\[(b) 1+x^3\]
\[(c) 1-x^6\]
\[(d) 1+x^4\]

Answer 2

1-x^6

Answer 3

How?

Answer 4

(1+x)(1-x+x^2)(1-x)(1-x+x^2)
(1+x^3)(1-x^3)
1-x^6

Answer 5

(1+x)(1-x+x^2)=1+x^3
(1-x)(1+x+x^2)=1-x^3
(1+x^3)(1-x^3)=1-x^6

Answer 6

Thanks to both of you.. : )