A^12+b^12 factorise by showing identity
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a^12 - b^12
= (a^6)^2 - (b^6)^2
= (a^6 + b^6)(a^6 - b^6)
= (a^2 + b^2)(a^4 - a^2b^2 + b^4)(a - b)(a + b)(a^2 - ab + b^2)(a^2 + ab + b^2)
= (a - b)(a + b)(a^2 + b^2) (a^2 - ab + b^2)(a^2 + ab + b^2)(a^4 - a^2b^2 + b^4)
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