Question

Simplify the expression: (7 - (-1))² + (-2)².
A) 68
B) 60
C) 40
D) 32

Answer 1

To simplify (7 - (-1))² + (-2)², we perform the operations inside parentheses, square the results, and add them together to obtain the simplified expression of 68.

Step-by-step explanation:

To simplify the expression: (7 - (-1))² + (-2)², we follow these steps:

1. Calculate the expression inside the first set of parentheses: 7 - (-1) = 7 + 1 = 8
2. Square the result: 8² = 64
3. Square the number inside the second set of parentheses: (-2)² = 4
4. Add the squared results together: 64 + 4 = 68

Thus, the simplified expression is 68.