Final answer:
The value of the expression 36x - 8y2 when x = 3 and y = -6 is found by substitution and basic arithmetic, yielding a result of -180.
Step-by-step explanation:
The value of 36x - 8y2 for x = 3 and y = –6 can be found by substituting the given values into the expression. Using the values provided:
- Replace x with 3: 36 × 3
- Replace y with –6: 8 × (–6)²
Now, calculate each term separately:
- 36 × 3 = 108
- 8 × 36 = 288 (because –6 squared is 36)
Bring both terms together:
108 - 288 = –180
Therefore, the value of the expression 36x - 8y2 when x = 3 and y = –6 is –180.