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appleduardo Group Title

whats the result of: (2^(2) + 3x ) ^(4)

  • one year ago
  • one year ago

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  1. appleduardo Group Title
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    \[(2^{2} + 3x ) ^{4}\]

    • one year ago
  2. calculusfunctions Group Title
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    In other words, your question is simplify\[(4+3x)^{4}\]Correct?

    • one year ago
  3. calculusfunctions Group Title
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    Do you know the binomial theorem?

    • one year ago
  4. calculusfunctions Group Title
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    Or do you know how to use Pascal's triangle?

    • one year ago
  5. appleduardo Group Title
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    yeep i do, (pascal's triangle)

    • one year ago
  6. calculusfunctions Group Title
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    OK so then you should know what to do, right?

    • one year ago
  7. calculusfunctions Group Title
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    1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 . . .

    • one year ago
  8. appleduardo Group Title
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    so ill get: (4)^4 + 4(4^(3) * 3x) + 6( 4^(2) * (3x)^(2) + 4 (4) * (3x)^(3) + (3x)^(4) ??

    • one year ago
  9. calculusfunctions Group Title
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    \[(a +b)^{4}=a ^{4}+4a ^{3}b +6a ^{2}b ^{2}+4ab ^{3}+b ^{4}\]Yes your answer is correct. Now simplify!

    • one year ago
  10. calculusfunctions Group Title
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    What is your final answer after you simplify?

    • one year ago
  11. calculusfunctions Group Title
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    Do you know how to simplify it further?

    • one year ago
  12. calculusfunctions Group Title
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    Yes or no?

    • one year ago
  13. appleduardo Group Title
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    im on that!, im finishing and ill post it as soon as i get it done!

    • one year ago
  14. appleduardo Group Title
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    i got: 256 + 768x + 864x^2 + 432x^3 + 81x^4

    • one year ago
  15. appleduardo Group Title
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    is that correct?

    • one year ago
  16. calculusfunctions Group Title
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    Very Good!

    • one year ago
  17. appleduardo Group Title
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    :o thank you so much for being such a great guidence!

    • one year ago
  18. calculusfunctions Group Title
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    Welcome anytime!

    • one year ago
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