# Binomial expansion

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Find the following. (Questions held on attachment)

Find the following:

a) The coefficient of x in the expansion of

b) The coeffiecient of x^3yz^4 in the expansion of

c) The coefficient of x^3 in the expansion of

d) The coefficient of x^5 in the expansion of is equal to the coefficient of x^4 in the expansion of. Find the value of a.

e) Write down the first four terms in the expansion of in ascending powers of x.

f) Without using a calculator, evaluate to 8 significant figures.

g) If , prove that

1)

2)

3)

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There are several problems here related to binomial expansions and powers.

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