Question

Select all the expressions that are equivalent to 22(2−5)²?

A. 22(−3)²
B. 22(3)²
C. (−22)(−3)²
D. (−22)(3)²

Answer 1

The expressions that are equivalent to 22(2−5)² are 22(-3)², 22(3)², (-22)(-3)², and (-22)(3)².

Step-by-step explanation:

To find the expressions that are equivalent to 22(2−5)², we need to simplify the expression first. Start by evaluating the power inside the parentheses: (2-5)² = (-3)² = 9. Then, multiply 22 by 9: 22 * 9 = 198. Therefore, the equivalent expressions are:

1. A. 22(-3)² = 22 * 9 = 198
2. B. 22(3)² = 22 * 9 = 198
3. C. (-22)(-3)² = -22 * 9 = -198
4. D. (-22)(3)² = -22 * 9 = -198

So, options A, B, C, and D are all equivalent to 22(2−5)².