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

\(6 p^{2} + 10 p = 2 p (3 p + 5)\)

\(6 x y + 15 x = 3 x (2 y + 5)\)

\(9 a b + 24 a c = 3 a (3 b + 8 c)\)

\(10 x y z + 15 x y = 5 x y (2 z + 3)\)

\(12 p^{5} - 14 p^{3} = 2 p^{3} (6 p^{2} - 7)\)

\(3 x^{5} + 5 x^{8} + x = x (3 x^{4} + 5 x^{7} + 1)\)

\(12 a^{2} b^{4} - 14 a^{3} b = 2 a^{2} b (6 b^{3} - 7 a)\)

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

\(36 x^{2} - 121 = (6 x - 11) (6 x + 11)\)

\(1 - 100 p^{2} = (1 - 10 p) (1 + 10 p)\)

\(81 a^{4} - 100 = (9 a^{2} - 10) (9 a^{2} + 10)\)

\(36 a^{2} - 16 = 4 (9 a^{2} - 4) = 4 (3 a - 2) (3 a + 2)\)

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

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

\(2 x^{7} - 32 x^{3} = 2 x^{3} (x^{4} - 16) = 2 x^{3} (x^{2} - 4) (x^{2} + 4) = 2 x^{3} (x - 2) (x + 2) (x^{2} + 4)\)

\(p^{4} q^{4} - 100 r^{2} = (p^{2} q^{2} - 10 r) (p^{2} q^{2} + 10 r)\)

\(a^{2} + 9 a + 18 = (a + 3) (a + 6)\)

\(p^{2} + 2 p - 48 = (p + 8) (p - 6)\)

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

\(x^{2} + 6 x + 9 = (x + 3) (x + 3)\)

\(5 x^{5} + 15 x^{4} - 50 x^{3} = 5 x^{3} (x^{2} + 3 x - 10) = 5 x^{3} (x - 2) (x + 5)\)

\(a^{10} + 3 a^{5} - 54 = (a^{5} - 6) (a^{5} + 9)\)