## Challenging Factoring Problem

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### Challenging Factoring Problem

I spent about 20 minutes on this one. This one is probably the hardest factoring problem I solved in my mathematical education. I am posting this one for you guys to solve.

Factor (1-2x-x^2)(1-2x+3x^2) + 4x^4. Show your work.

Good luck!

J.
johnny
Retired Moderator

Posts: 2141
Joined: Tue Apr 24, 2007 9:43 am

(1-2x-x^2)(1-2x+3x^2) + 4x^4
=(1-2x+xÂ²-2xÂ²)(1-2x+xÂ²+2xÂ²)+4x^4
=[(x-1)Â²-2x^Â²][(x-1)Â²+2xÂ²]+4x^4
=(x-1)^4-(2xÂ²)Â²+4x^4
=(x-1)^4
King of Diamonds

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Location: France

Good job.
johnny
Retired Moderator

Posts: 2141
Joined: Tue Apr 24, 2007 9:43 am