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Factorise : \(a^{12} – b^{12}\)

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\(a^{12} – b^{12}\) = \((a^6)^2-(b^6)^2 = (a^6 +b^6)(a^6-b^6)\)      [∴ a2 - b= (a - b)(a + b)]

= (a6 + b6)((a3)2 - (b3)2)

= (a6 + b6)(a3 + b3)(a3 - b3)

= (a6 + b6)(a + b)(a2 - ab + b2)(a - b)(a2 + ab + b2).

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