Question

If ∆ is an operation such that for integers a and b we have

a∆ b = a × a + b × b – a × b, then find
(-4) ∆ 2.

Answer 1

Answer:

from given information

a*b = a×b + (a×a + b×b)

so (-3)*(-5) = (-3)×(-5) + ((-3)×(-3) + (-5)×(-5))

= 15 + (9 +25)

= 15 + 34

(-3)*(-5) = 49

(-6)*2 = (-6)×2 + ((-6)×(-6) + 2×2)

= (-12) + (36 + 4)

= -12 + 40

(-6)*2 = 28