Final answer:
To solve the expression (x+y) squared - 37 with x=4 and y=-9, you calculate (4-9)^2 which is (-5)^2=25, and then subtract 37 to get the result -12.
Step-by-step explanation:
The question asks to evaluate the expression (x+y) squared - 37 given that x is 4 and y is -9.
We start by calculating the value of (x+y) squared which is (4 + (-9))^2. Since 4 + (-9) equals -5, the squared value is (-5)^2 which equals 25.
Then we subtract 37 from this result to get 25 - 37, which equals -12.