A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
how can i factor:
a^(4n)b^(4n)
Seems to me its already in its simplest form
anonymous
 4 years ago
how can i factor: a^(4n)b^(4n) Seems to me its already in its simplest form

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Factor and simplify are different things.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[a^{4n}b^{4n}\]\[=(a^{2n})^{2}(b^{2n})^{2}=...\]

EpikRebel
 4 years ago
Best ResponseYou've already chosen the best response.0If they share something, it can be factored.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I'm sure if you expand (ab)^4n, you won't get a^4n  b^4n

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay yeah that was a stupid question :P I understand it now! thanks anyways guys!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\large{\color{blue}{a^{4n}b^{4n} = (a^{2n})^2  (b^{2n})^2 = (a^{2n} + b^{2n} )(a^{2n}b^{2n})}}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0a^2n  b^2n can be further factorised!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The identity used here is \(\large{\color{red}{a^2b^2=(a+b)(ab)}}\)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\large{(a^{2n}+b^{2n})(a^{2n}b^{2n}) = (a^{2n}+b^{2n})[(a^n)^2  (b^n)^2] \\= (a^{2n}+b^{2n}) (a^n + b^n)(a^nb^n)}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but a^(2n)+b^(2n) cant be furthur factorized?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes @tok1997 a^(2n)+b^(2n) can not be further factorised but a^(2n)b^(2n) can be.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yup! unless... using complex number...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You're welcome @tok1997
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.