Question

(32²-31²)²=?29+(11×(18²-54))=?(5+10²)-2×(441:21-6)²=?​

Answer 1

1)63^2 (3969)
2)2999
3)-345

Answer 2

Let's calculate the expressions step by step:

1. (32² - 31²)²:

   • First, calculate 32² - 31²: 32² - 31² = 1024 - 961 = 63
   • Now, raise the result to the power of 2: 63² = 3969

2. 29 + (11 × (18² - 54)):

   • First, calculate 18² - 54: 18² - 54 = 324 - 54 = 270
   • Now, multiply 11 by 270: 11 × 270 = 2970
   • Finally, add 29 to the result: 29 + 2970 = 2999

3. (5 + 10²) - 2 × (441 ÷ (21 - 6))²:

   • First, calculate 10²: 10² = 100
   • Next, calculate 21 - 6: 21 - 6 = 15
   • Now, calculate 441 ÷ 15: 441 ÷ 15 = 29
   • Square the result: 29² = 841
   • Add 5 to 100: 5 + 100 = 105
   • Finally, subtract 2 times 841 from 105: 105 - 2 × 841 = 105 - 1682 = -1577

So, the answers to the expressions are:

1. (32² - 31²)² = 3969
2. 29 + (11 × (18² - 54)) = 2999
3. (5 + 10²) - 2 × (441 ÷ (21 - 6))² = -1577