The operation \otimes is defined for all nonzero numbers by a \otimes b=\dfrac{a^{2}}{b}. Determine [(1 \otimes 2) \otimes 3]-[1 \otimes(2 \otimes 3)].
Answer Choices
A. -\dfrac{2}{3}
B. -\dfrac{1}{4}
C. 0
D. \dfrac{1}{4}
E. \dfrac{2}{3}
The operation \otimes is defined for all nonzero numbers by a \otimes b=\dfrac{a^{2}}{b}. Determine [(1 \otimes 2) \otimes 3]-[1 \otimes(2 \otimes 3)].
Answer Choices
A. -\dfrac{2}{3}
B. -\dfrac{1}{4}
C. 0
D. \dfrac{1}{4}
E. \dfrac{2}{3}