Final answer:
To evaluate the expression 3x²+7xy-2y² for x=2 and y=-3, substitute the values and simplify the expression.
Step-by-step explanation:
To evaluate the expression 3x²+7xy-2y² for x=2 and y=-3, we substitute the given values of x and y into the expression.
So, the expression becomes:
3(2)²+7(2)(-3)-2(-3)²
Now, we simplify each term:
3(4)+7(-6)-2(9)
12-42-18
Finally, we add and subtract the terms to get the final result:
-48