Let's solve the expression \((145 - 14)^2 - (94 + 38)^2\).

First, simplify each part:

1. \(145 - 14 = 131\)
2. \(94 + 38 = 132\)

Now, square each result:

\[
131^2 = 17161
\]
\[
132^2 = 17424
\]

Finally, subtract the squares:

\[
17161 - 17424 = -263
\]

So, the final answer is \(-263\).

Would you like more details or have any questions about this calculation?

Here are some related questions to explore further:
1. How do you simplify expressions using the difference of squares formula?
2. What are the steps to expand binomials like \((a - b)^2\) or \((a + b)^2\)?
3. How does changing one number in a subtraction or addition affect the final square?
4. What are some techniques to quickly calculate squares of large numbers?
5. How can you apply this process to solving quadratic equations?

**Tip:** When subtracting squares of close numbers, the result is often small due to the difference being amplified when squared.

Learn how to solve the expression (145-14)^2 - (94+38)^2 step-by-step with a detailed explanation. This problem involves the difference of squares formula and covers algebraic concepts related to squares and square roots. Suitable for students in Grades 7-9.

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