The number sequence of senior two It is proved by mathematical induction that "when n belongs to n *, 11 ^ (n + 2) + 12 ^ (2n + 1) can be divisible by 133". When n = K + 1, the formula 11 ^ [(K + 1) + 2] + 12 ^ [2 (k + 1) + 1] can be transformed into________ .

The number sequence of senior two It is proved by mathematical induction that "when n belongs to n *, 11 ^ (n + 2) + 12 ^ (2n + 1) can be divisible by 133". When n = K + 1, the formula 11 ^ [(K + 1) + 2] + 12 ^ [2 (k + 1) + 1] can be transformed into________ .

11^[(k+1)+2]+12^[2(k+1)+1]
= 11*11^(k+2)+12^2*12^(2k+1)
= 11*(11^(k+2)+12^(2k+1))+133*12^(2k+1)