Algebra-2

Let's expand  using Pascal's Triangle.

 

Step 1: List Each Term

According to the binomial theorem:

.

For , we can list each term:

1.  corresponds to .

2.  corresponds to .

3.  corresponds to .

4.  corresponds to .

5.  corresponds to .

 

Step 2: Use Pascal's Triangle to Determine Coefficients

Pascal's Triangle is constructed as follows:

Row 0: (1)

Row 1: (1, 1)

Row 2: (1, 2, 1)

Row 3: (1, 3, 3, 1)

Row 4: (1, 4, 6, 4, 1).

 

For , the coefficients from the fourth row of Pascal's Triangle are:

1. .

2. .

3. .

4.