Question

9. If# is an operation such that for any integers a and b, we have:
a # b = a x b - 2x ax b + b x b (-a) × b + b x b, then find: (i) 4#(-3)​

Answer 1

Given

a # b = a x b - 2x ax b + b x b (-a) × b + b x b

Here , a =4 , b = -3 ,

The value of 4 # (-3 )

= 4×(-3)-2×4×(-3) + (-3)×(-3)(-4)×(-3)+(-3)×(-3)

= -12 + 24 + 108 + 9

= -12 + 141

= 129

Therefore.,

4#(-3) = 129

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