Question

If ∆ is an operation such that for integers a and b we have a∆ b= a x b – 2

x a x b + b x b , find (-7) ∆ (-1)​

Answer 1

a Δ b = a × b – 2 × a × b + b × b (–a) × b + b × b

then find  (i) 4 Δ ( – 3) (ii) ( – 7) Δ ( – 1)

Also show that 4 Δ ( – 3)≠(– 3) Δ 4 and ( – 7) Δ ( – 1) ≠ ( – 1) Δ (– 7)

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