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anonymous

  • 5 years ago

I am really not sure how to simplify this: 2x(3x+4)^4/3+4x^2(3x+4)^1/3?

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  1. anonymous
    • 5 years ago
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    Are they raised to fractional powers?

  2. anonymous
    • 5 years ago
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    For example,\[2x(3x+4)^{4/3}\]

  3. anonymous
    • 5 years ago
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    they are raised to fractional powers....I know there has to be someway the (3x+4) comes out. I'm trying to factor it since there are two of the same terms here. So far this is what I have: [2x(3x+4)^1/3](3x+4)^3/3+2x]

  4. anonymous
    • 5 years ago
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    Okay...just give me a sec. I'm only 'half' here. You should notice 2x(3x+4)^(1/3) is a common factor.

  5. anonymous
    • 5 years ago
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    yeahhh I can see that. Thanks for trying to help though!

  6. anonymous
    • 5 years ago
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    \[2x(3x+4)^{4/3}+4x^2(3x+2)^{1/3}=2x(3x+2)^{1/3}[(3x+4)+2x]\]\[=2x(3x+2)^{1/3}(6x+4)=4x(3x+2)^{1/3}(3x+2)=4x(3x+2)^{4/3}\]

  7. anonymous
    • 5 years ago
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    Wait...I made a mistake in the last line...

  8. anonymous
    • 5 years ago
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    I'll scan in what I wrote. I never translate things onto the site properly :[

  9. anonymous
    • 5 years ago
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  10. anonymous
    • 5 years ago
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    THANK YOU SOOO MUCH! I can see how to do it now, thanks again! :)

  11. anonymous
    • 5 years ago
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    kk ;]

  12. anonymous
    • 5 years ago
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    wait, isn't 3x+2x = 5x?

  13. anonymous
    • 5 years ago
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    It is...damn...thanks for picking that up.

  14. anonymous
    • 5 years ago
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    heh, np.

  15. anonymous
    • 5 years ago
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    Okay...*this* one should be right. Too many distractions going on...

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  16. anonymous
    • 5 years ago
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    I just realized something...when I wrote the problem where I have 4x^2, the original problem actually has the x^2 separated from the 4. So it actually is:\[2x(3x+4)^4/3+x^2*4(3x+4)^1/3\]

  17. anonymous
    • 5 years ago
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    Does this make a difference to the answer...I went ahead and multiplied x^2+4...to make it 4x^2. I hope this doesn't change all the hard work you did, I just realized this though.

  18. anonymous
    • 5 years ago
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    no, it doesn't matter. a * b = b * a. in other words, 7 times 9 is the same as 9 times 7 is the same as 63

  19. anonymous
    • 5 years ago
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    okay...thanks.

  20. anonymous
    • 5 years ago
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    I am getting ready to post a new thread, maybe you can help?

  21. anonymous
    • 5 years ago
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    maybe I can. lets see :)

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