
Factor x^8-1 | Mathway
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Solve x^8-1 | Microsoft Math Solver
Rewrite x^{8}-1 as \left(x^{4}\right)^{2}-1^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
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Factorise : $$ x^8 -1 - Toppr
Using the formula we get $$ x^8 -1$$ $$ = (x^2 +1 + \sqrt {2}x) (x^2 +1- \sqrt {2}x)(x^2 +1)(x+1)(x-1) $$
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How do you factor the expression x^8 - 1? | Socratic
Dec 20, 2015 · How do you factor the expression x8 − 1? Use some identities to find: x8 −1 = (x − 1)(x + 1)(x2 + 1)(x2 +√2x + 1)(x2 − √2x + 1) We shall use some identities to help: The difference of squares identity: a2 −b2 = (a −b)(a +b) Consider also: (a2 + kab +b2)(a2 − kab + b2) = a4 +(2 −k2)a2b2 + b4. In particular if k = √2 then: