Now, 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) . #160; ...

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Algebraic Identities

Simplify: a6...

Question

Simplify:
$a^{6} - b^{6}$

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Solution

Now,
$a^{6} - b^{6}$
$= (a^{3})^{2} - (b^{3})^{2}$
$= (a^{3} - b^{3}) (a^{3} + b^{3})$
$= (a - b) (a^{2} + a b + b^{2}) (a + b) (a^{2} - a b + b^{2})$ .

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