mathhatesme123
How to Expand (x + 2y)^5



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hal_stirrup
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(x+2y)(x+2y)(x+2y)(x+2y)(x+2y)

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

hal_stirrup
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it take a long time if you do it that way. true

hal_stirrup
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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!!

TuringTest
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binomial theorem:\[(a+b)^n=\sum_{k=0}^n\binom nka^{nk}b^k\]where\[\binom nk={n!\over k!(nk)!}\]

TuringTest
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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

mathhatesme123
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thank you :)

TuringTest
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welcome!

hal_stirrup
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nice