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

\(12 a^{2} - 32 a = 4 a (3 a - 8)\)

\(20 x y + 36 x = 4 x (5 y + 9)\)

\(25 p q + 30 p r = 5 p (5 q + 6 r)\)

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

\(15 x^{4} + 35 x^{3} = 5 x^{3} (3 x + 7)\)

\(7 p^{3} - 9 p^{5} + p^{6} = p^{3} (7 - 9 p^{2} + p^{3})\)

\(16 x y^{2} + 36 x^{4} y^{5} = 4 x y^{2} (4 + 9 x^{3} y^{3})\)

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

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

\(49 - 9 x^{2} = (7 - 3 x) (7 + 3 x)\)

\(100 a^{14} - 121 = (10 a^{7} - 11) (10 a^{7} + 11)\)

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

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

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

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

\(x^{4} y^{4} - 64 z^{2} = (x^{2} y^{2} - 8 z) (x^{2} y^{2} + 8 z)\)

\(p^{2} + 10 p + 9 = (p + 1) (p + 9)\)

\(a^{2} - 4 a - 32 = (a - 8) (a + 4)\)

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

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

\(3 a^{3} + 9 a^{2} - 84 a = 3 a (a^{2} + 3 a - 28) = 3 a (a - 4) (a + 7)\)

\(x^{10} + 4 x^{5} + 3 = (x^{5} + 3) (x^{5} + 1)\)