If a * b is defined by a * b = a^2 - 2a + b/ ab, for all nonzero numbers a and b, then 3 * 4 = ____.

a.
8/15

b.
7/12

c.
3/7

d.
5/12


Sagot :

Solution:

Correct option is D)

We have (2⊕3)⊕4=(2

2

+3

2

)⊕4=13⊕4=13

2

+4

2

=169+16=185 [the given condition a⊕b=a

2

+b

2

]