Find the value of :
`((6.7)^(2) - (3.3)^(2))/(6.7-3.3)`

Answer

To solve the expression \(\frac{(6.7)^2 - (3.3)^2}{6.7 - 3.3}\), we can follow these steps:

### Step 1: Identify the expression
We start with the expression:
\[ \frac{(6.7)^2 - (3.3)^2}{6.7 - 3.3} \]

### Step 2: Apply the difference of squares formula
We recognize that the numerator is a difference of squares, which can be factored using the identity:
\[ a^2 - b^2 = (a - b)(a + b) \]
Here, let \(a = 6.7\) and \(b = 3.3\). Thus, we can rewrite the numerator:
\[ (6.7)^2 - (3.3)^2 = (6.7 - 3.3)(6.7 + 3.3) \]

### Step 3: Substitute the factored form into the expression
Substituting this back into our expression, we have:
\[ \frac{(6.7 - 3.3)(6.7 + 3.3)}{6.7 - 3.3} \]

### Step 4: Cancel the common terms
Since \(6.7 - 3.3\) appears in both the numerator and the denominator, we can cancel these terms:
\[ 6.7 + 3.3 \]

### Step 5: Calculate the remaining expression
Now we simply need to compute:
\[ 6.7 + 3.3 = 10 \]

### Final Answer
Thus, the value of the expression is:
\[ \boxed{10} \]

---