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A binary operation * is defined on the set of real number, R...

A binary operation * is defined on the set of real number, R, by x*y = x2 - y2 + xy, where x,   R. Evaluate (3)*(2)

 

2x×3

A.

1 - 6

B.

6 - 1

C.

6

D.

1 + 6

Correct answer is D

x*y = x2 - y2 + xy

(3)*(2) = (3)2 - (2)2 + 3 x 2 

= 3 - 2 + 6

= 1 + 6