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Math Help - need help factoring... can someone please help me (answer provided)

  1. #1
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    need help factoring... can someone please help me (answer provided)

    My teacher gave us the answer to this problem but I am having trouble showing my work.

    <br />
5m^3(m^3-1)^2-3m^5(m^3-1)^3<br />

    when i work it out step by step i get

    m^3(m^3-1)^2(5-3m^2(m^3-1))
     m^3(m^3-1)^2(5-3m^5+3m)
     m^3(m^3-1)^2(5-3m^5+3m)

    I pretty much get stuck right there... the answer i should get is:

    <br />
m^3(m-1)^2(m^2+m+1)^2(5+3m^2-3m)^5

    If anyone can figure out how could you list the steps that come to the conclusion? I can deduct what is going on without grammatical explanation, I just need to see the steps.
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  2. #2
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    the answer doesn't seem to be correct, the highest power of m in the answer is 19 while the highest power of m in the question is 16

    your working is correct to where it is now but i just don't see how you are going to get the answer provided by your teacher
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  3. #3
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    Thank you so much for your reply.

    ugh, now i am really pissed. :/ i spent like an hour and a half trying to figure that problem out. worst part about it is that the back of the book has that solution listed also. I did notice thought that i typed one part incorrectly.

    the answer should be:

    m^3(m-1)^2(m^2+m+1)^2(5+3m^2-3m^5)
    rather than:

    m^3(m-1)^2(m^2+m+1)^2(5+3m^2-3m)^5

    do you see any way that this may make a difference?
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  4. #4
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    Hello,

    Quote Originally Posted by Waffl3z View Post
    Thank you so much for your reply.

    ugh, now i am really pissed. :/ i spent like an hour and a half trying to figure that problem out. worst part about it is that the back of the book has that solution listed also. I did notice thought that i typed one part incorrectly.

    the answer should be:

    {\color{red} m^3(m-1)^2(m^2+m+1)^2(5+3m^2-3m^5)}
    rather than:

    m^3(m-1)^2(m^2+m+1)^2(5+3m^2-3m)^5

    do you see any way that this may make a difference?
    Better !
    Notice that the degree of the red thing is 3+2+4+5=14




    Quote Originally Posted by Waffl3z View Post
    My teacher gave us the answer to this problem but I am having trouble showing my work.

    <br />
5m^3(m^3-1)^2-3m^5(m^3-1)^3 <br />
<< the degree is max(3+3, 5+9)=14 so it's ok

    when i work it out step by step i get

    m^3(m^3-1)^2(5-3m^2(m^3-1))
     m^3(m^3-1)^2(5-3m^5+3m^{\color{red}2}) mistake
     m^3(m^3-1)^2(5-3m^5+3m)

    I pretty much get stuck right there... the answer i should get is:

    <br />
m^3(m-1)^2(m^2+m+1)^2(5+3m^2-3m)^5

    If anyone can figure out how could you list the steps that come to the conclusion? I can deduct what is going on without grammatical explanation, I just need to see the steps.
    I've pointed out in red the important things
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