If the LCM of f(x) and g(x) is $a^{6} - b^{6}$ , then their HCF can be

a - b

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a^{2} + a b + b^{2}

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a^{2} - a b + b^{2}

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All of these

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Solution

The correct option is D All of these
LCM of f(x) and g(x) is $a^{6} - b^{6}$
HCF of f(x) and g(x) is a factors of $a^{6} - b^{6}$
All $(a - b), (a^{2} + a b + b^{2})$ and $(a^{2} - a b + b^{2})$ are factors of $a^{6} - b^{6}$ .
Hence, option D is correct.

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