Question

9. If# is an operation such that for any integers a and b, we have:
a # b = a xb- 2 xa x b + b xb (-a) × b + b xb, then find: (i) 4#(-3)
(ii) (-7) #(-1)​

Answer 1

Answer:

Given, a

∗

b=a×b+(a×a+b×b)

So.

(i)

we put a=(−3) and b=(−5)

(−3)∗(−5)=(−3)×(−5)+[(−3)×(−3)+(−5)×(−5)]

=15+(9+25)=15+34=49

(ii)

Similarly, a=−6,b=2

(−6)∗2=(−6)×2+[(−6)×(−6)+2×2]

=−12+(36+4)

=−12+40=28