Discrete Math-Find the Coefficient

[hgaon001]

Find the Coefficient of x^4 in (2x^2 + 6)^12

i try the formula for the binomial theorem but im not gettin the correct answer.. helpppp please

 

[daon]

\(\displaystyle (2x^2 + 6)^{12} = \sum_{k=0}^{12} {12 \choose k}(2x^2)^k(6)^{12-k}\)

For what k will you have \(\displaystyle x^4\)? Evaluate the coefficent for that k.

 

[hgaon001]

I dont know how to find K.. cuz i was goin over some examples and sum said like 2k=4.. and others had 2(12-k)=4..

 

[DrMike]

For what k will you have \(\displaystyle x^4\)? Evaluate the coefficent for that k.