Problem 139 of 7
Use structure to evaluate 65^2-35^2 efficiently.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
avoid brute-force expansion when pattern helps.
Hidden until you reveal it.
Expression must contain a special-product or exponent structure that avoids brute-force computation.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the special product or exponent law.
2. Rewrite the expression using the structure.
3. Evaluate the simpler expression.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Arithmetic-only brute force if it misses the requested structural method.