Problem 72 of 7
Use an identity to factor polynomial x^4-16.
Hints
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recognize structure and apply identity.
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Recognize square, cube, or conjugate structure before factoring.
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Solution
Walkthrough
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1. Identify the special-product structure.
2. Match terms to identity variables.
3. Write the corresponding factorization.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Forcing an identity when terms do not match the pattern.