Factorise $a^{2 x} - b^{2 x}$ .

(a^{x} + b^{x}) (a^{x} - b^{x})

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(a^{x} - b^{x})^{2}

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(a^{x} + b^{x}) (a^{2} - b^{2})

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(a^{x} - b^{x}) (a^{2} + b^{2})

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Solution

The correct option is B $(a^{x} + b^{x}) (a^{x} - b^{x})$
$a^{2 x} - b^{2 x} = (a^{x})^{2} - (b^{x})^{2}$
By using $a^{2} - b^{2} = (a + b) (a - b)$
$(a^{x})^{2} - (b^{x})^{2} = (a^{x} - b^{x}) (a^{x} + b^{x})$

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

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