Find the value of
`(6.25 xx 6.25 - 1. 75 xx 1. 75)/(4.5)`

Options

A. 6
B. 7
C. 8
D. 9

Answer

To solve the expression \((6.25 \times 6.25 - 1.75 \times 1.75) / (4.5)\), we can follow these steps:

### Step 1: Recognize the expression as a difference of squares
We can rewrite the expression using the identity \(a^2 - b^2 = (a - b)(a + b)\). Here, we have:
- \(a = 6.25\)
- \(b = 1.75\)

So, we can express the numerator as:
\[ 6.25^2 - 1.75^2 = (6.25 - 1.75)(6.25 + 1.75) \]

### Step 2: Calculate \(6.25 - 1.75\) and \(6.25 + 1.75\)
Now, we calculate:
\[ 6.25 - 1.75 = 4.50 \]
\[ 6.25 + 1.75 = 8.00 \]

### Step 3: Substitute back into the expression
Now, substituting these values back into the expression, we have:
\[ (6.25 - 1.75)(6.25 + 1.75) = 4.50 \times 8.00 \]

### Step 4: Calculate \(4.50 \times 8.00\)
Now, we calculate:
\[ 4.50 \times 8.00 = 36.00 \]

### Step 5: Divide by \(4.5\)
Now, we substitute this back into our original expression:
\[ \frac{36.00}{4.5} \]

### Step 6: Perform the division
Now, we perform the division:
\[ \frac{36.00}{4.5} = 8.00 \]

### Final Answer
Thus, the value of the expression \((6.25 \times 6.25 - 1.75 \times 1.75) / (4.5)\) is:
\[ \boxed{8.00} \]