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04/01/2024 · Middle School
Factor the expression completely over the complex numbers. \( y^{4}+14 y^{2}+49 \) Enter your answer in the box.
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Step-by-step Solution
Factor the expression \( y^4+14y^2+49 \).
Factor the expression by following steps:
- step0: Factor:
\(y^{4}+14y^{2}+49\)
- step1: Factor the expression:
\(\left(y^{2}+7\right)^{2}\)
The expression \(y^{4}+14y^{2}+49\) can be factored completely over the complex numbers as \((y^{2}+7)^{2}\).
Quick Answer
\( (y^{2}+7)^{2} \)
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