Factoring a cube expression - (Step by step)











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How can I factor the following expression:



$$(a+3)^3$$



Please, step by step so I can learn.










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  • 2




    It seems to already be factored. Can you elaborate about what you need?
    – Cameron Buie
    Nov 26 at 16:03










  • It looks already factored - perhaps it's something else you want done?
    – mike65535
    Nov 26 at 16:04










  • I would like to backshift it, I mean, I looked it up on the internet and I found an expression like this: (a+4)(a²-4a+16)... I don't know the step-by-step to get to this form though
    – Matheus Minguini
    Nov 26 at 16:11















up vote
0
down vote

favorite












How can I factor the following expression:



$$(a+3)^3$$



Please, step by step so I can learn.










share|cite|improve this question




















  • 2




    It seems to already be factored. Can you elaborate about what you need?
    – Cameron Buie
    Nov 26 at 16:03










  • It looks already factored - perhaps it's something else you want done?
    – mike65535
    Nov 26 at 16:04










  • I would like to backshift it, I mean, I looked it up on the internet and I found an expression like this: (a+4)(a²-4a+16)... I don't know the step-by-step to get to this form though
    – Matheus Minguini
    Nov 26 at 16:11













up vote
0
down vote

favorite









up vote
0
down vote

favorite











How can I factor the following expression:



$$(a+3)^3$$



Please, step by step so I can learn.










share|cite|improve this question















How can I factor the following expression:



$$(a+3)^3$$



Please, step by step so I can learn.







factoring






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share|cite|improve this question













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edited Nov 26 at 16:04









gt6989b

32.7k22351




32.7k22351










asked Nov 26 at 16:00









Matheus Minguini

174




174








  • 2




    It seems to already be factored. Can you elaborate about what you need?
    – Cameron Buie
    Nov 26 at 16:03










  • It looks already factored - perhaps it's something else you want done?
    – mike65535
    Nov 26 at 16:04










  • I would like to backshift it, I mean, I looked it up on the internet and I found an expression like this: (a+4)(a²-4a+16)... I don't know the step-by-step to get to this form though
    – Matheus Minguini
    Nov 26 at 16:11














  • 2




    It seems to already be factored. Can you elaborate about what you need?
    – Cameron Buie
    Nov 26 at 16:03










  • It looks already factored - perhaps it's something else you want done?
    – mike65535
    Nov 26 at 16:04










  • I would like to backshift it, I mean, I looked it up on the internet and I found an expression like this: (a+4)(a²-4a+16)... I don't know the step-by-step to get to this form though
    – Matheus Minguini
    Nov 26 at 16:11








2




2




It seems to already be factored. Can you elaborate about what you need?
– Cameron Buie
Nov 26 at 16:03




It seems to already be factored. Can you elaborate about what you need?
– Cameron Buie
Nov 26 at 16:03












It looks already factored - perhaps it's something else you want done?
– mike65535
Nov 26 at 16:04




It looks already factored - perhaps it's something else you want done?
– mike65535
Nov 26 at 16:04












I would like to backshift it, I mean, I looked it up on the internet and I found an expression like this: (a+4)(a²-4a+16)... I don't know the step-by-step to get to this form though
– Matheus Minguini
Nov 26 at 16:11




I would like to backshift it, I mean, I looked it up on the internet and I found an expression like this: (a+4)(a²-4a+16)... I don't know the step-by-step to get to this form though
– Matheus Minguini
Nov 26 at 16:11










1 Answer
1






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As noted in the comments $(a+3)^3=(a+3)(a+3)(a+3)$ is already factored.



The expression in your comment is the factorization of a different binomial expression:
$$
a^3+4^3=(a+4)(a^2-4a+4^2)
$$



You can verify this identity simply multiplying the factors.






share|cite|improve this answer





















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    1 Answer
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    active

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    1 Answer
    1






    active

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    active

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    active

    oldest

    votes








    up vote
    1
    down vote













    As noted in the comments $(a+3)^3=(a+3)(a+3)(a+3)$ is already factored.



    The expression in your comment is the factorization of a different binomial expression:
    $$
    a^3+4^3=(a+4)(a^2-4a+4^2)
    $$



    You can verify this identity simply multiplying the factors.






    share|cite|improve this answer

























      up vote
      1
      down vote













      As noted in the comments $(a+3)^3=(a+3)(a+3)(a+3)$ is already factored.



      The expression in your comment is the factorization of a different binomial expression:
      $$
      a^3+4^3=(a+4)(a^2-4a+4^2)
      $$



      You can verify this identity simply multiplying the factors.






      share|cite|improve this answer























        up vote
        1
        down vote










        up vote
        1
        down vote









        As noted in the comments $(a+3)^3=(a+3)(a+3)(a+3)$ is already factored.



        The expression in your comment is the factorization of a different binomial expression:
        $$
        a^3+4^3=(a+4)(a^2-4a+4^2)
        $$



        You can verify this identity simply multiplying the factors.






        share|cite|improve this answer












        As noted in the comments $(a+3)^3=(a+3)(a+3)(a+3)$ is already factored.



        The expression in your comment is the factorization of a different binomial expression:
        $$
        a^3+4^3=(a+4)(a^2-4a+4^2)
        $$



        You can verify this identity simply multiplying the factors.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 26 at 16:19









        Emilio Novati

        51.2k43472




        51.2k43472






























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