Problem 7 of 7
Factor the sum of squares over complex numbers: 16z^2+121w^2.
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use conjugate imaginary factors.
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Use conjugate imaginary factors so the product has real coefficients.
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Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
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1. Rewrite the positive square as an imaginary square product.
2. Use a^2+b^2=(a+bi)(a-bi).
3. Check conjugates multiply back to the original expression.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying sum of squares is unfactorable when complex factors are allowed.