Number of factors of `(a+b) ^(2) ` is

Options

A. 4
B. 3
C. 2
D. 1

Answer

To find the number of factors of \((a + b)^2\), we can follow these steps:

### Step 1: Understand the expression
The expression \((a + b)^2\) means that we have the term \(a + b\) multiplied by itself.

### Step 2: Rewrite the expression
We can rewrite \((a + b)^2\) as:
\[ (a + b) \times (a + b) \]

### Step 3: Identify the factors
From the rewritten expression, we can see that the factors of \((a + b)^2\) are:
1. \(a + b\)
2. \(a + b\)

### Step 4: Count the factors
Since we have two identical factors, we can say that the total number of factors of \((a + b)^2\) is:
\[ 2 \]

### Conclusion
Thus, the number of factors of \((a + b)^2\) is \(2\).