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Factorize: ...

Question

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

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Solution

$(a^{3})^{2} - (b^{3})^{2} = (a^{3} + b^{3}) (a^{3} - b^{3})$

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a^{6} - b^{6}

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On Resolving $a^{6} - b^{6}$ into factors give $(a + b) (a - b) (a^{2} - a b + b^{2}) (a^{2} + a b + b^{2})$ .

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