factorize
y^4+5y^2+9
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Answer: (y^2+3+y) (y^2+3-y)
Step-by-step explanation:
y^4+5y^2+9
- Add and subtract y^2
= y^4+6y^2+9-y^2
- Factor y^4+6y^2+9-y^2: (y^2+3)^2
=y^4+6y^2+9-y^2
- Factor y^4+6y^2+9-y^2: ((y^2+3)+y) ((y^2+3)-y)
= ((y^2+3)+y) ((y^2+3)-y)
- Simplify ((y^2+3)+y) ((y^2+3)-y): (y^2+3+y) (y^2+3-y)
= (y^2+3+y) (y^2+3-y)
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