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Factor the expression completely over the complex numbers.
y^4+14y^2+49

1 Answer

1 vote

Answer:

(y² + 7)(y² + 7)

Explanation:

Check: Use the FOIL method. FOIL = First, Outside, Inside, Last, and is the order in which you multiply:

(y²)(y²) = y⁴

(y²)(7) = 7y²

(7)(y²) = 7y²

(7)(7) = 49

Simplify. Combine like terms:

y⁴ + (7y² + 7y²) + 49 = y⁴ + (14y²) + 49

Your answer:

(y² + 7)(y² + 7)

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