Problem 1 :
In the complete simplified epansion of the binomial
(a + b)^{2k - 4}
there are 15 terms. Find the value of k.
Solution :
Problem 2 :
A term of the binomial expansion
(mx + y)^{5},
where m is a positive integer, is 640x^{3}y^{2}. Find the value of m.
Solution :
Problem 3 :
Find the middle term in the expansion of
Solution :
Problem 4 :
Determine the fourth term in the expansion of
(x - 2a)^{7}
when written in descending order by degree x.
Solution :
Problem 5 :
Find the constant term in the expansion of
Solution :
Problem 6 :
In the expansion of
determine the term containing x^{-3}.
Solution :
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