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#1

$Old$ April 30th, 2008, 01:44 PM

cowboys111 $cowboys111 is offline$

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$Default$ need help expanding

Can someone please help me expand this, (x-2)^(k+1).
Thanks for the help

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$Old$ April 30th, 2008, 01:54 PM

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Hi

You can use the binomial theorem : $(a+b)^n=\sum_{i=0}^n\binom{n}{i}a^i\times b^{n-i}$

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$Old$ April 30th, 2008, 01:56 PM

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Originally Posted by cowboys111 $View Post$

Can someone please help me expand this, (x-2)^(k+1).
Thanks for the help

$(a + b)^{m} = \sum_{i = 0}^m {m \choose {m - i}}a^{m - i}b^i$

So
$(x - 2)^{k+1} = \sum_{i = 0}^{k + 1} {{k + 1} \choose {k + 1 - i}}x^{k + 1 - i}(-2)^i$

-Dan

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