Problem 18 of 7
Factor using sum or difference of cubes: 27x^3+125.
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recognize cube structure and apply identity.
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Recognize cube structure and apply correct sign pattern.
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Solution
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1. Identify A and B as cubed quantities.
2. Choose sum or difference of cubes formula.
3. Substitute and simplify if needed.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using difference-of-squares pattern for cubes.