SOLUTION: factor completely Show your work 25y^4-36 I do not know how to do this problem could someone please explain it to me?

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Question 314984: factor completely Show your work

25y^4-36

I do not know how to do this problem could someone please explain it to me?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let and substitute for

Then



Now you have the difference of two squares:



Replace with



If you really meant to say "factor completely over the the rationals" then you are done, otherwise:

The left-hand binomial can be factored as the difference of two squares:



If you really meant "factor completely over the reals" then you are done, otherwise, you can factor the other binomial involving as the difference of two squares:




John