SOLUTION: Factor: 48k^4-243

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Factor: 48k^4-243      Log On


   

Question 641922: Factor: 48k^4-243
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Note: and , so



Which is the difference of two squares, so:



Then we have the difference of two squares again, so:



And if you are factoring over the Reals, you are done. If you are factoring over the Complex numbers, you can go one more step because where , and this is also the difference of two squares, so:



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism