If x = 3 and y = -1, evaluate 2(x\(^2\) - y\(^2\))
Answer Details
The expression 2(x\(^2\) - y\(^2\)) means 2 times the difference of x squared and y squared.
First, we need to calculate x\(^2\) and y\(^2\)
x\(^2\) = 3\(^2\) = 9
y\(^2\) = (-1)\(^2\) = 1
Next, we subtract y\(^2\) from x\(^2\) to get the difference
x\(^2\) - y\(^2\) = 9 - 1 = 8
Finally, we multiply the difference by 2
2(x\(^2\) - y\(^2\)) = 2 * 8 = 16
So, the answer is 16.