84
168
336
672
Correct answer is D
Let the power of 2x2 be t and the power of 1x≡x−1 = 9 - t.
(2x2)t(x−1)9−t=x0
Dealing with x alone, we have
(x2t)(x−9+t)=x0⟹2t−9+t=0
3t−9=0∴
The binomial expansion is then,
^{9}C_{3} (2x^{2})^{3}(x^{-1})^{6} = \frac{9!}{(9-3)! 3!} \times 2^{3}
= 84 x 8
= 672
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