The expression we have to evaluate is:
[tex]xy-20+y^2[/tex]We have the values for x and y:
[tex]\begin{gathered} x=7 \\ y=-6 \end{gathered}[/tex]Step 1. Substitute the values of x and y into the expression:
[tex](7)(-6)-20+(-6)^2[/tex]Step 2. Solve the operations
we first need to solve the exponent, given that (-6)^2 is equal to 36:
[tex](7)(-6)-20+36[/tex]Next, we need to solve the multiplication between 7 and -6, which results in -42:
[tex]-42-20+36[/tex]And finally, we solve the additions and substractions:
[tex]\begin{gathered} -42-20+36 \\ -62+36 \\ -26 \end{gathered}[/tex]Answer: -26
