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

\(12 x^{2} + 16 x = 4 x (3 x + 4)\)

\(16 a b + 20 a = 4 a (4 b + 5)\)

\(4 a b + 10 a c = 2 a (2 b + 5 c)\)

\(21 p q r + 27 p q = 3 p q (7 r + 9)\)

\(12 a^{2} + 27 a^{5} = 3 a^{2} (4 + 9 a^{3})\)

\(8 x + 9 x^{2} + x^{6} = x (8 + 9 x + x^{5})\)

\(8 x^{2} y^{2} + 12 x^{3} y = 4 x^{2} y (2 y + 3 x)\)

\(a^{2} - 121 = (a - 11) (a + 11)\)

\(9 p^{2} - 100 = (3 p - 10) (3 p + 10)\)

\(121 - 144 a^{2} = (11 - 12 a) (11 + 12 a)\)

\(9 p^{14} - 121 = (3 p^{7} - 11) (3 p^{7} + 11)\)

\(48 a^{2} - 3 = 3 (16 a^{2} - 1) = 3 (4 a - 1) (4 a + 1)\)

\(80 x^{4} - 45 x^{2} = 5 x^{2} (16 x^{2} - 9) = 5 x^{2} (4 x - 3) (4 x + 3)\)

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

\(a^{14} - 81 a^{2} = a^{2} (a^{12} - 81) = a^{2} (a^{6} - 9) (a^{6} + 9) = a^{2} (a^{3} - 3) (a^{3} + 3) (a^{6} + 9)\)

\(x^{12} y^{8} - 9 z^{10} = (x^{6} y^{4} - 3 z^{5}) (x^{6} y^{4} + 3 z^{5})\)

\(x^{2} + 15 x + 56 = (x + 7) (x + 8)\)

\(p^{2} - p - 2 = (p + 1) (p - 2)\)

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

\(x^{2} + 14 x + 49 = (x + 7) (x + 7)\)

\(2 a^{5} - 2 a^{4} - 60 a^{3} = 2 a^{3} (a^{2} - a - 30) = 2 a^{3} (a + 5) (a - 6)\)

\(x^{14} - 12 x^{7} + 32 = (x^{7} - 8) (x^{7} - 4)\)