Sure! Let's solve the expression [tex]\(179 \times 179 - 21 \times 21\)[/tex] step-by-step.
### Step 1: Calculate [tex]\(179 \times 179\)[/tex]
First, we find the product of 179 and 179:
[tex]\[
179 \times 179 = 32041
\][/tex]
### Step 2: Calculate [tex]\(21 \times 21\)[/tex]
Next, we find the product of 21 and 21:
[tex]\[
21 \times 21 = 441
\][/tex]
### Step 3: Subtract the Results
Now, we subtract the second result from the first:
[tex]\[
32041 - 441 = 31600
\][/tex]
### Conclusion
Thus, the simplified result of the expression [tex]\(179 \times 179 - 21 \times 21\)[/tex] is:
[tex]\[
31600
\][/tex]
So, the final answer is [tex]\(31600\)[/tex].