\(\rm \frac{(12^2-8^2)10}{20\times 2}=?\)

Given:

We need to solve the expression \(\rm \frac{(12^2-8^2)10}{20× 2}=?\)

Formula used:

Basic arithmetic operations and algebraic identities.

Calculation:

1. Calculate 12² and 8²:

   12² = 144 and 8² = 64

2. Subtract 8² from 12²:

   12² - 8² = 144 - 64 = 80

3. Multiply the result by 10:

   (122 - 82) × 10 = 80 × 10 = 800

4. Calculate the denominator 20 × 2:

   20 × 2 = 40

5. Divide the result from step 3 by the result from step 4:

   800/40 = 20

Therefore, the answer is 20.

Final Answer: 1) 20