factorise a-b-a^3-b^3
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a-b-a^3-b^3
=(a-b) -(a^3+b^3)
=(a -b) - [(a+b) (a^2-ab+b^2)]
=(a-b) - [(a+b) {(a-b)^2+ab}]
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Step-by-step explanation:
a-b-a^3+b^3
= (a-b)-(a^3-b^3)
= (a-b)-{(a-b)(a^2+b^2+ab)}
[applying simple formula]
= (a-b) (1-a^2-b^2-ab)
[taking a-b as common](Ans.)
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