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[x^(a-b)×(a^2+b^2+ab)][similar terms][similar terms]
[x^(a^3-b^3)][x^(b^3-c^3][x^(c^3-a^3)]
=x^(a^3-b^3+b^3-c^3+c^3-a^3)
=x^0=1 Ans
We have used the identity
(a-b)(a^2+b^2+ab)= a^3-b^3
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Refer to the above attachment .
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