\(15.14.12.25.2=15.14.\left(4.3\right).25.2\)
\(=15.2.25.4.14.3=30.100.42\)
\(=3000.42=126000\)
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\(15\cdot14\cdot12\cdot25\cdot2\)
\(=3\cdot5\cdot2\cdot7\cdot3\cdot4\cdot25\cdot2\)
\(=\left(3\cdot3\right)\cdot\left(5\cdot2\right)\cdot\left(4\cdot25\right)\cdot2\cdot7\)
\(=9\cdot10\cdot100\cdot2\cdot7\)
\(=9000\cdot2\cdot7\)
\(=18000\cdot7\)
\(=126000\)
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\(15\cdot14\cdot12\cdot25\cdot2\)
\(=15\cdot14\cdot3\cdot4\cdot25\cdot2\)
\(=1260\cdot100\)
\(=126000\)
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