What is the value of
`(2.75 xx 2.75 xx 2.75 - 2.25 xx 2.25 xx 2.25)/(2.75 xx 2.75 + 2.75 xx 2.25 + 2.25 xx 2.25) = ?`

Answer

To solve the expression

\[ \frac{(2.75 \times 2.75 \times 2.75 - 2.25 \times 2.25 \times 2.25)}{(2.75 \times 2.75 + 2.75 \times 2.25 + 2.25 \times 2.25)} \]

we can simplify it step by step.

### Step 1: Calculate \(2.75^3\) and \(2.25^3\)

First, we calculate \(2.75^3\) and \(2.25^3\):

\[ 2.75^3 = 2.75 \times 2.75 \times 2.75 = 20.796875 \]

\[ 2.25^3 = 2.25 \times 2.25 \times 2.25 = 11.390625 \]

### Step 2: Substitute the values into the numerator

Now, substitute these values into the numerator:

\[ 20.796875 - 11.390625 = 9.40625 \]

### Step 3: Calculate \(2.75^2\), \(2.75 \times 2.25\), and \(2.25^2\)

Next, we calculate \(2.75^2\), \(2.75 \times 2.25\), and \(2.25^2\):

\[ 2.75^2 = 7.5625 \]

\[ 2.25^2 = 5.0625 \]

\[ 2.75 \times 2.25 = 6.1875 \]

### Step 4: Substitute the values into the denominator

Now substitute these values into the denominator:

\[ 7.5625 + 6.1875 + 5.0625 = 18.8125 \]

### Step 5: Divide the numerator by the denominator

Now we divide the numerator by the denominator:

\[ \frac{9.40625}{18.8125} \approx 0.5 \]

### Final Answer

Thus, the value of the expression is:

\[ \boxed{0.5} \]

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