Problem 52 of 7
Prove the sum or difference of cubes identity: 8z^3+1.
Hints
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multiply candidate factors.
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Use the correct sign pattern for sum or difference of cubes.
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Solution
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1. Identify a and b in a^3 plus or minus b^3.
2. Write the matching cube identity.
3. Expand to verify if proof is requested.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Using the wrong middle sign pattern.