factorize x^8 - 1 please help me
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Answered by
5
x^8 - 1 = (x^4)^2 - (1)^2
= (x^4 + 1)(x^4 - 1)
= (x^4 + 1){(x^2)^2 - (1)^2}
= (x^4 + 1)(x^2 + 1)(x^2 - 1)
= (x^4 + 1)(x^2 + 1)(x + 1)(x -1)
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Answered by
1
x^8 - 1
= (x^4 +1)(x^4 - 1)
= (x^4 + 1)(x^2 + 1)(x^2 - 1)
= (x^4 + 1)(x^2 + 1)(x +1)(x -1)
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