You can put this solution on YOUR website! You could write this as and multiply this out the long way, but there is a much faster way to tackle these sort of problems. We're going to use Binomial Expansion to expand this term. The general rule to expand is that we start out with and for each term we decrement n for a and increment the exponent for b so the 2nd terms looks like until we get to for our last term. The coefficient (c) that is placed in front of each term is found in Pascal's triangle. So for we need to look at the row containing:
1,4,6,4,1
And these coefficients are placed in front of the variables. So if we have it becomes Notice the terms in the parenthesis are the coefficients
Hope this makes sense. If not just look at row containing
1,2,1
This is the row of coefficients that are appended to the expansion of
which expands to:
which can be written as:
and you can see the coefficients from the triangle in the parenthesis.
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