Algebra-2

To find the middle term in the expansion of  using the binomial expansion and Pascal's Triangle, we can follow these clear steps:

 

Step 1: Identify the Expression

We are expanding:

 

Step 2: Total Number of Terms

The total number of terms in the expansion is :

.

Since there are 9 terms, the middle term corresponds to the 5th term.

 

Step 3: Determine the Fifth Term

The binomial expansion can be expressed as:

.

Where:

,

,

.

The 5th term (which corresponds to  in the binomial expansion) can be expressed as:

Fifth Term = .

This can be rewritten as:

Fifth Term =

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