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Luigi0210

  • 2 years ago

Find the 3rd term in:

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  1. Luigi0210
    • 2 years ago
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    \[\LARGE (x+y)^4\]

  2. shamil98
    • 2 years ago
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    The 3 term?

  3. shamil98
    • 2 years ago
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    Clarify on what you're asking please =)

  4. myininaya
    • 2 years ago
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    I think he means to find the third term when putting (x+y)^4 in standard descending expanded form.

  5. Luigi0210
    • 2 years ago
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    Yea, that ^

  6. shamil98
    • 2 years ago
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    (x+y)(x+y)(x+y)(x+y) er, (x+y) ?

  7. myininaya
    • 2 years ago
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    Yep multiplying it all out. But there is a shortcut.

  8. Luigi0210
    • 2 years ago
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    You learned this in Alg II/trig/pre-calc sham :)

  9. shamil98
    • 2 years ago
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    Just wanted to be sure what he was asking xD

  10. shamil98
    • 2 years ago
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    it seemed to easy lol. thought it was a trick question o-o

  11. myininaya
    • 2 years ago
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    You could use pascal's triangle or the binomial theorem

  12. shamil98
    • 2 years ago
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    \[(x+y)^4 = x^4 + 4x^3y + 6x^2y^2 + 4xy^3 + y^4\]

  13. shamil98
    • 2 years ago
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    third term is 6x^2y^2

  14. myininaya
    • 2 years ago
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    \[(a+b)^n=\left(\begin{matrix}n \\ 0\end{matrix}\right)a^na^0+\left(\begin{matrix} n \\ 1\end{matrix}\right)a^{n-1}b^1+\cdots +\left(\begin{matrix}n \\ k\end{matrix}\right)a^{n-k} b^k+\cdots \left(\begin{matrix}n \\ n\end{matrix}\right)a^0b^n\] where that one term that has all the k's is the k+1 term.

  15. undeadknight26
    • 2 years ago
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    I has a question what is the difference between the diamond shaped smart score, the purple smart score and the green smart score?

  16. Kainui
    • 2 years ago
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    What's the form of a polynomial who's "pascal triangle" has the form:: |dw:1387987847972:dw|

  17. Luigi0210
    • 2 years ago
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    I was actually looking for the method that myin mention but others work too :) Thanks everyone!

  18. shamil98
    • 2 years ago
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    diamond shaped = they sponsor (subscription to OS)

  19. shamil98
    • 2 years ago
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    purple = moderator

  20. shamil98
    • 2 years ago
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    green smart score = 90 or higher Our unofficial title is lord

  21. Luigi0210
    • 2 years ago
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    ^Yup

  22. undeadknight26
    • 2 years ago
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    oh cool beans...i liked the orange though...lol...

  23. shamil98
    • 2 years ago
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    the days of the orange war are long gone :')

  24. Luigi0210
    • 2 years ago
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    .. for now

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