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There is no need to expand the bracket fully.
All we need to do is to write down the general term in the expansion and then collect all powers of x together. Different values of r will give all the different powers of x in the expansion. In your case, for the term independent of x, we obtain r = 4.
We need to substitute this value of r into the required coefficient of x (or the constant if the term is independent of x, as is this case) and equate it to the given number.
All we need to do is to write down the general term in the expansion and then collect all powers of x together. Different values of r will give all the different powers of x in the expansion. In your case, for the term independent of x, we obtain r = 4.
We need to substitute this value of r into the required coefficient of x (or the constant if the term is independent of x, as is this case) and equate it to the given number.
Date Posted:
5 years ago