SOLVED PROBLEMS ON BINOMIAL EXPANSION

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 640x³y². 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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