Question

factorise - (x^8-1)​

Answer 1

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Answer 2

ᎻᎬY ᎷᎪᎢᎬ ᎻᎬᎡᎬ ᏆᏚ YᎾᏆᎡ ᎪNᏚᏔᎬᎡ.

ᎪᏟᎾᎾᎡᎠᏆNᏩ ᎢᎾ ᎢᎻᎬ QᏌᎬᏚᎢᏆᎾN

X^8 - 1

(X^4)^2 - (1)^2 [Ꭺ^2 - Ᏼ^2]

=> [(Ꭺ-Ᏼ)(Ꭺ+Ᏼ)]

(X^4-1)(X^4+1)

[(X^2)^2 - (1)^2][(X^2)^2 + (1)^2 + 2×X^2×1 - 2X^2]

[(X^2-1)(X^2+1)][(X^2+1)^2 - (2X^2)^2]

[(X)^2 - (1)^2][(X^2+1+√2X^2)(X^2+1-√2X^2)]

[(X-1)(X+1)][(X^2+1+√2X^2)(X^2+1-√2X^2)]

ᏢᏞᎬᎪᏚᎬ ᎷᎪᎡK ᎷᎬ ᎪᏚ ᏴᎡᎪᏆNᏞᏆᎬᏚᎢ.