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appleduardo

  • 3 years ago

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

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  1. appleduardo
    • 3 years ago
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    \[(2^{2} + 3x ) ^{4}\]

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

  3. calculusfunctions
    • 3 years ago
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    Do you know the binomial theorem?

  4. calculusfunctions
    • 3 years ago
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    Or do you know how to use Pascal's triangle?

  5. appleduardo
    • 3 years ago
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    yeep i do, (pascal's triangle)

  6. calculusfunctions
    • 3 years ago
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    OK so then you should know what to do, right?

  7. calculusfunctions
    • 3 years ago
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    1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 . . .

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

  9. calculusfunctions
    • 3 years ago
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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!

  10. calculusfunctions
    • 3 years ago
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    What is your final answer after you simplify?

  11. calculusfunctions
    • 3 years ago
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    Do you know how to simplify it further?

  12. calculusfunctions
    • 3 years ago
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    Yes or no?

  13. appleduardo
    • 3 years ago
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    im on that!, im finishing and ill post it as soon as i get it done!

  14. appleduardo
    • 3 years ago
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    i got: 256 + 768x + 864x^2 + 432x^3 + 81x^4

  15. appleduardo
    • 3 years ago
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    is that correct?

  16. calculusfunctions
    • 3 years ago
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    Very Good!

  17. appleduardo
    • 3 years ago
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    :o thank you so much for being such a great guidence!

  18. calculusfunctions
    • 3 years ago
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    Welcome anytime!

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