Mathematics
Factorise :
a6 - b6
Factorisation
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Answer
Given,
a6 - b6
= (a3)2 - (b3)2
= (a3 + b3)(a3 - b3)
= (a + b)(a2 - ab + b2)(a - b)(a2 + ab + b2)
= (a + b)(a - b)(a2 - ab + b2)(a2 + ab + b2).
Hence, a6 - b6 = (a + b)(a - b)(a2 - ab + b2)(a2 + ab + b2).
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