Problem 21 of 7
Verify complex factorization (5p+i sqrt(3))(5p-i sqrt(3)) of expression 25p^2+3.
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multiply conjugate factors.
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Factorization must be a conjugate-factor product.
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Solution
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1. Multiply the conjugate factors as a difference of squares.
2. Simplify i^2 to -1.
3. Confirm the original sum of squares is recovered.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Verification that leaves i^2 unsimplified.