\(p^{2} + 3 p = p (p + 3)\)

\(5 x^{2} + 8 x = x (5 x + 8)\)

\(32 a b + 36 a = 4 a (8 b + 9)\)

\(30 a b + 35 a c = 5 a (6 b + 7 c)\)

\(4 x y z + 10 x y = 2 x y (2 z + 5)\)

\(4 p^{5} + 10 p^{3} = 2 p^{3} (2 p^{2} + 5)\)

\(4 x^{8} - 7 x^{7} + x^{6} = x^{6} (4 x^{2} - 7 x + 1)\)

\(28 a^{2} b^{3} + 36 a^{4} b = 4 a^{2} b (7 b^{2} + 9 a^{2})\)

\(a^{2} - 4 = (a - 2) (a + 2)\)

\(16 x^{2} - 9 = (4 x - 3) (4 x + 3)\)

\(121 - 16 p^{2} = (11 - 4 p) (11 + 4 p)\)

\(25 a^{10} - 64 = (5 a^{5} - 8) (5 a^{5} + 8)\)

\(50 x^{2} - 18 = 2 (25 x^{2} - 9) = 2 (5 x - 3) (5 x + 3)\)

\(20 x^{3} - 45 x = 5 x (4 x^{2} - 9) = 5 x (2 x - 3) (2 x + 3)\)

\(a^{8} - 81 = (a^{4} - 9) (a^{4} + 9) = (a^{2} - 3) (a^{2} + 3) (a^{4} + 9)\)

\(a^{10} - 81 a^{2} = a^{2} (a^{8} - 81) = a^{2} (a^{4} - 9) (a^{4} + 9) = a^{2} (a^{2} - 3) (a^{2} + 3) (a^{4} + 9)\)

\(p^{10} q^{8} - 144 r^{12} = (p^{5} q^{4} - 12 r^{6}) (p^{5} q^{4} + 12 r^{6})\)

\(a^{2} + 14 a + 45 = (a + 5) (a + 9)\)

\(x^{2} + x - 6 = (x + 3) (x - 2)\)

\(x^{2} - 9 x + 20 = (x - 5) (x - 4)\)

\(p^{2} - 8 p + 16 = (p - 4) (p - 4)\)

\(5 a^{3} + 10 a^{2} - 315 a = 5 a (a^{2} + 2 a - 63) = 5 a (a + 9) (a - 7)\)

\(a^{12} + 5 a^{6} + 6 = (a^{6} + 2) (a^{6} + 3)\)