What is the coefficient of x2y3 in the expansion of (2x + y)5?
ОА. 2
Ов. 5
Ос. 40
OD.
E. It does not exist.

Option C:

The coefficient of is 40.

Solution:

Given expression:

Using binomial theorem:

Here

Substitute in the binomial formula, we get

Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.

Let us solve the term one by one.

Substitute these into the above expansion.

The coefficient of is 40.

Option C is the correct answer.

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step-by-step explanation: