Factor Completely: m^4-1

Algebra
Tutor: None Selected Time limit: 1 Day

I dont understand how this can be factored! 

Oct 9th, 2015

Thank you for the opportunity to help you with your question!

m^4 - 1

= (m^2)^2 - 1^2                                 Hint: Write m^4 = (m^2)^2         and 1 = 1^2

= (m^2 + 1) (m^2-1)                       Hint: use formula a^2 - b^2 = (a+b)(a-b)

= (m^2+1)(m^2 - 1^2)                     Hint: use formula a^2 - b^2 = (a+b)(a-b)

=(m^2+1)(m-1)(m+1)

Hence the complete factors are  (m^2+1)(m-1)(m+1)

Please let me know if you need any clarification. I'm always happy to answer your questions. Kindly best this answer if it has helped you.
Oct 9th, 2015

Do you have any other question? I am going offline in sometime

Oct 9th, 2015

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