Problem 43 of 7
Factor shifted sum of squares (x+1)^2+36 over complex numbers.
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treat binomial expression as a unit.
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Expression must be a squared binomial plus a positive term.
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Correct
Your answer is equivalent to the expected form.
Solution
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1. Treat the squared binomial as a single square term.
2. Rewrite the positive constant as the square of an imaginary term.
3. Use conjugate factors.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Expanding first and losing the shifted structure unless final factors are equivalent.