1.

Prove that `**: R xx R to R ` defined as `a ** b =a+2ab` is not commutative .

Answer» Let `a,b in R `
`:. A**b =a+2b and b**a =b+2a`
`:. a**b ne ** a " "`(If a =2 and b=5 )
Therefore, `**` is not commutative .
Hence Proved.


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