\[1)\ y = (2x - 3)^{5}\left( 3x^{2} + 2x + 1 \right);\]
\[= (2x - 3)^{4}\left( 42x^{2} + 6x + 4 \right).\]
\[2)\ y = (x - 1)^{4}(x + 1)^{7};\]
\[= (x - 1)^{3}(x + 1)^{6}(11x - 3).\]
\[3)\ y = \sqrt[4]{3x + 2} \bullet (3x - 1)^{4};\]
\[= \frac{3}{4}(3x + 2)^{- \frac{3}{4}} \bullet (3x - 1)^{3} \bullet (51x + 31).\]
\[4)\ y = \sqrt[3]{2x + 1} \bullet (2x - 3)^{3};\]
\[= \frac{4}{3}(2x + 1)^{- \frac{2}{3}} \bullet (2x - 3)^{2} \bullet (10x + 3).\]