Factroise `(a^6-b^6)`

1.	Factroise `(a^6-b^6)`
Answer» We have `(a^6-b^6)` `=(a^3)^2-(b^3)^2` `=(a^3-b^3)(a^3+b^3)` `=(a-b)(a^2+ab+b^2)(a+b)(a^2-ab+b^2)` ` =(a-b) (a+b) (a^2+ab+b^2)(a^2-ab+b^2)`. `therefore (a^6-b^6)=(a-b)(a+b)(a^2+ab+b^2)(a^2-ab+b^2)`.

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