Melody is right. This is called the binomial theorem, and it's pretty helpful to find coefficients and constants in these types of expressions.
Starting from the first term, we have \(\binom{7}{0}(3c)^7(4d)^0+\binom{7}{1}(3c)^6(4d)^1+\binom{7}{2}(3c)^5(4d)^2+...+\binom{7}{7}(3c)^0(4d)^7\)
Thus, the fourth term should be \(\binom{7}{3}(3c)^4(4d)^3\) .
Fixed.