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mathhatesme123

  • 2 years ago

How to Expand (x + 2y)^5

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  1. hal_stirrup
    • 2 years ago
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    (x+2y)(x+2y)(x+2y)(x+2y)(x+2y)

  2. TuringTest
    • 2 years ago
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    ^that is probably the ugliest way to do it I would use either Pascal's triangle or the binomial theorem

  3. hal_stirrup
    • 2 years ago
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    it take a long time if you do it that way. true

  4. hal_stirrup
    • 2 years ago
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    i like to show the long way so it becomes more clear. Pascal's triangle is goog way to do it. or a calculator!!

  5. TuringTest
    • 2 years ago
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    binomial theorem:\[(a+b)^n=\sum_{k=0}^n\binom nka^{n-k}b^k\]where\[\binom nk={n!\over k!(n-k)!}\]

  6. TuringTest
    • 2 years ago
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    if the binomial theorem looks like Greek to you then I would go with Pascal's triangle since it is only to the 5th power

  7. mathhatesme123
    • 2 years ago
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    thank you :)

  8. TuringTest
    • 2 years ago
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    welcome!

  9. hal_stirrup
    • 2 years ago
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    nice

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