a)
3²×5+3²×7=
5•3²+7×3²=
(5+7)×3²=
12×3²=
12×9=
108
[tex]b) \\ \\ {2025}^{2019} - 2024 \times {2025}^{2018} = \\ \\ (2025 - 2024) \times {2025}^{2018} = \\ \\ 1 \times {2025}^{2018} = \\ \\ {2025}^{2018} [/tex]
[tex]c) \\ \\ ( {7}^{10} - {7}^{9}) : ( {7}^{9} - {7}^{8}) = \\ \\ (7 - 1) \times {7}^{9} : ((7 - 1) \times {7}^{8}) = \\ \\ 6 \times {7}^{9} : (6 \times {7}^{8}) = \\ \\ 7 [/tex]
[tex]d) {5}^{3} \times {2}^{6} - {5}^{3} \times {7}^{2} = \\ \\ ( {2}^{6} - {7}^{2}) \times {5}^{3} = \\ \\ (64 - 49) \times 125 = \\ \\ 15 \times 125 = \\ \\ 1875 [/tex]
