(1+a)(1+a²)(1+a⁴)(1-a)(1-a^8)
Answers
Answered by
0
Answer:
okkkkkkkkkkkkk k k k k k kk
Answered by
0
Answer:
Hi mate! Here's ur answer
Step-by-step explanation:
Repeatedly use the difference of squares factorization:
(x + y) (x - y) = x² - y²
So...
(1 + a) (1 + a²) (1 + a⁴) (1 - a) (1 + a⁸)
= (1 - a) (1 + a) (1 + a²) (1 + a⁴) (1 + a⁸) [ just reordered the factors ]
= (1 - a²) (1 + a²) (1 + a⁴) (1 + a⁸) [ did (1-a)(1+a) = 1-a² ]
= (1 - a⁴) (1 + a⁴) (1 + a⁸) [ did (1-a²)(1+a²) = 1-a⁴ ]
= (1 - a⁸) (1 + a⁸) [ did (1-a⁴)(1+a⁴) = 1-a⁸ ]
= 1 - a¹⁶
Similar questions