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Find the coefficient of the 6thterm in the binom...

Find the coefficient of the 6thterm in the binomial expansion of (12x3)10 in ascending powers of x.

A.

896x69

B.

896x59

C.

896x527

D.

896x627

Correct answer is C

rth term of a binomial expansion =nCr1an(r1)br1

n=10,r=6

6th term =^{10}C_5 1^{10} - 5 (-\frac{2}{3}x)^5

=252*1*-\frac{32x^5}{243}=-\frac{896x^5}{27}