+23246 The expansion of (2x + 6)6 is:
6C0(2x)6(6)0 + 6C1(2x)5(6)1 + 6C2(2x)4(6)2 + 6C3(2x)3(6)3 + 6C4(2x)2(6)4 + 6C5(2x)1(6)5 + 6C6(2x)0(6)6
[I've written it out completely so that you can see the pattern.]
The one term that you are interested in is 6C2(2x)4(6)2 whose coefficient is 6C2 · 24 · 62
