appleduardo
  • appleduardo
whats the result of: (2^(2) + 3x ) ^(4)
Mathematics
katieb
  • katieb
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appleduardo
  • appleduardo
\[(2^{2} + 3x ) ^{4}\]
calculusfunctions
  • calculusfunctions
In other words, your question is simplify\[(4+3x)^{4}\]Correct?
calculusfunctions
  • calculusfunctions
Do you know the binomial theorem?

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calculusfunctions
  • calculusfunctions
Or do you know how to use Pascal's triangle?
appleduardo
  • appleduardo
yeep i do, (pascal's triangle)
calculusfunctions
  • calculusfunctions
OK so then you should know what to do, right?
calculusfunctions
  • calculusfunctions
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 . . .
appleduardo
  • appleduardo
so ill get: (4)^4 + 4(4^(3) * 3x) + 6( 4^(2) * (3x)^(2) + 4 (4) * (3x)^(3) + (3x)^(4) ??
calculusfunctions
  • calculusfunctions
\[(a +b)^{4}=a ^{4}+4a ^{3}b +6a ^{2}b ^{2}+4ab ^{3}+b ^{4}\]Yes your answer is correct. Now simplify!
calculusfunctions
  • calculusfunctions
What is your final answer after you simplify?
calculusfunctions
  • calculusfunctions
Do you know how to simplify it further?
calculusfunctions
  • calculusfunctions
Yes or no?
appleduardo
  • appleduardo
im on that!, im finishing and ill post it as soon as i get it done!
appleduardo
  • appleduardo
i got: 256 + 768x + 864x^2 + 432x^3 + 81x^4
appleduardo
  • appleduardo
is that correct?
calculusfunctions
  • calculusfunctions
Very Good!
appleduardo
  • appleduardo
:o thank you so much for being such a great guidence!
calculusfunctions
  • calculusfunctions
Welcome anytime!

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