Algebra-2

Let's expand .

 

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 .

6.  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)

Row 5: (1, 5, 10, 10, 5, 1).

 

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

1. .

2. .

3. .

4. .

5.

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