Question

if * is an operation such that for integers a and b, a*b = axb + (axa + bxb), then find (-5)* (-2)​

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