If x = - 1 and y = - 3, then evaluate: 5y² - 2 (x² - 4xy) - 5y?
- 74
- 59
- 82
- None of these
Explanation
Given x = -1 and y = -3:
Let's evaluate the expression 5y² - 2(x² - 4xy) - 5y:
1. Calculate 5y² = 5(-3)² = 5(9) = 45
2. Calculate x² = (-1)² = 1
3. Calculate 4xy = 4(-1)(-3) = 12
4. Calculate x² - 4xy = 1 - 12 = -11
5. Calculate -2(x² - 4xy) = -2(-11) = 22
6. Calculate -5y = -5(-3) = 15
Now, combine the results:
5y² - 2(x² - 4xy) - 5y = 45 + 22 + 15
= 82
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