If a_b is an operator for integers a and b such that a_b =a*b+b*b-2*a*(-b),then find (-8)_(-2).
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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
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