A binary operation ∆ is defined by x∆y =x^2-y^2_2xy find -3*2

Answer 1

To find -3∆2, we need to evaluate (-3)^2 - 2^2 - 2(-3)(2).

(-3)^2 = 9
2^2 = 4
2(-3)(2) = -12

Now, substitute these values into the expression:

-3∆2 = 9 - 4 - (-12)
-3∆2 = 5 + 12
-3∆2 = 17

Therefore, -3∆2 = 17.