Let's solve the given expression step-by-step:
[tex]\[
\frac{23.71 \times 23 \times 71 - 16 \times 29 \times 16 \times 29}{0.742}
\][/tex]
### Step 1: Calculate [tex]\(23.71 \times 23 \times 71\)[/tex]
Let's denote this term as [tex]\(part1\)[/tex]:
[tex]\[
part1 = 23.71 \times 23 \times 71
\][/tex]
Evaluating this, we get:
[tex]\[
part1 = 38718.43
\][/tex]
### Step 2: Calculate [tex]\(16 \times 29 \times 16 \times 29\)[/tex]
Let's denote this term as [tex]\(part2\)[/tex]:
[tex]\[
part2 = 16 \times 29 \times 16 \times 29
\][/tex]
Evaluating this, we get:
[tex]\[
part2 = 215296
\][/tex]
### Step 3: Calculate the numerator
The numerator of the given expression is:
[tex]\[
numerator = part1 - part2
\][/tex]
Substituting the values we found:
[tex]\[
numerator = 38718.43 - 215296 = -176577.57
\][/tex]
### Step 4: Divide the numerator by the denominator
The denominator given is [tex]\(0.742\)[/tex]:
[tex]\[
\text{Expression} = \frac{numerator}{0.742}
\][/tex]
Substituting the value of the numerator:
[tex]\[
\text{Expression} = \frac{-176577.57}{0.742}
\][/tex]
Evaluating this, we get:
[tex]\[
\text{Expression} \approx -237975.1617250674
\][/tex]
Thus, the value of the given expression is:
[tex]\[
-237975.1617250674
\][/tex]
