Simplify the expression.$\frac{7.35\times 7.35-2.25\times 2.25}{0.24}$

The correct answer is 204.

To simplify the given expression, we can write it as:
$\frac{7.35\times 7.35-2.25\times 2.25}{0.24}$

Notice that the numerator is in the form of a difference of squares: $a^2-b^2=(a-b)(a+b)$, where $a=7.35$ and $b=2.25$.

Applying the difference of squares formula, we get:
$7.35\times 7.35-2.25\times 2.25=(7.35-2.25)\times (7.35+2.25)$

Now, let's calculate the values inside the parentheses:
$7.35-2.25=5.1$
$7.35+2.25=9.6$

Substituting these values back into the expression, we have:
$\frac{5.1\times 9.6}{0.24}$

We can simplify the division $\frac{9.6}{0.24}$ first:
$\frac{9.6}{0.24}=\frac{960}{24}=40$

Now, multiply the result by 5.1:
$5.1\times 40=204$

Therefore, the simplified value of the expression is 204.