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?
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
Let 
and substitute 
for 
Then
Now you have the difference of two squares:
(5u\ +\ 6))
Replace 
with 
(5y^2\ +\ 6))
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:
(y\sqrt{5}\ +\ \sqrt{6})(5y^2\ +\ 6))
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:
(y\sqrt{5}\ +\ \sqrt{6})(y\sqrt{5}\ -\ i\sqrt{6})(y\sqrt{5}\ +\ i\sqrt{6}))
John
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