[tex] {2}^{n} \times {3}^{n + 1} + 2 \times {6}^{n + 2} = \\ {2}^{n} \times {3}^{n } \times 3 + 2 \times {6}^{n } \times {6}^{2} = \\ {6}^{n } \times 3 + 2 \times {6}^{n } \times 36 = \\ {6}^{n} \times (3 + 2 \times 36) = \\ {6}^{n} \times (3 + 72) = \\{6}^{n} \times 75 [/tex]