pls help with this expansion of the binomial.

[(6-a)x+ay]^12 ?

Just use the coefficients of Pascal's Triangle, and plug and chug:

((6-a)x)^12 + 12((6-a)x)^11(ay) + ...

See it in all its glory at

http://www.wolframalpha.com/input/?i=[%286-a%29x%2Bay]^12

This is one of those problems that are really pointless. Asking for the 12th power is a cruel joke. It doesn't teach anything more than asking for the 3rd power, which is at least doable.