SOLUTION: Factor 1 -a^8

Question 100142: Factor 1 -a^8
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
1-a^8 factoring this item where both terms are squares separated by a - sign is
the sum & difference of their square roots. or 1 (+/-) a^4.
(1+a^4)(1-a^4) this last term is also squares separated by a - sign.
thus the square roots are 1 (+/-) a^2.
(1+a^4)(1+a^2)(1-a^2) this last is also squares separated by a - sign.
thus the square roots are 1 (+/-) a.
(1+a^4)(1+a^2)(1+a)(1-a)
sorry I had an a instead of a 1 in the second term in the last row.
RELATED QUESTIONS
t^8-1...factor.... (answered by 303795)

Factor:... (answered by Nate)

factor... (answered by jim_thompson5910)

find the remaining factors of this polynomial. factor completely. 6x^3-25x^2+2x+8;(2x+1)... (answered by jsmallt9)

Factor this problem completely... (answered by rapaljer,jsmallt9)

factor the expression completely x^8 -... (answered by scott8148)

Factor completely: a. 4x^2 + 34x +42 b. x^8 -... (answered by checkley77)

: Factor completely: 50a^2 � 40 a + 8 (answered by Fombitz)

Which of the following is a factor of x^2 - 7x - 8? A)(x + 1) B)(x + 8) C)(x - 8)... (answered by sudhanshu_kmr)