Find the first four terms, in ascending powers of xxx, in the expansion of (1−2x)8(1-2x)^8(1−2x)8.
The coefficient of x3 x^3\,x3 in the expansion of (1−2x)8(1+kx)(1-2x)^8(1+kx)(1−2x)8(1+kx) is zero. Determine the value of kkk.