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Question

# factor the expression and use the fundamental identities to simplify. There is more than one correct form of each answer.$\newline\sec^4x-\tan^4 x$

Solution

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Step 1
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When we factor the given expression, it becomes:

\begin{aligned} (\text{sec}^2x-\text{tan}^2x)(\text{sec}^2x+\text{tan}^2x) \end{aligned}

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