\(a^{2} + 5 a = a (a + 5)\)

\(24 x^{2} - 27 x = 3 x (8 x - 9)\)

\(25 x y + 35 x = 5 x (5 y + 7)\)

\(24 p q + 27 p r = 3 p (8 q + 9 r)\)

\(15 a b c + 25 a b = 5 a b (3 c + 5)\)

\(28 x^{2} + 32 x^{5} = 4 x^{2} (7 + 8 x^{3})\)

\(2 a^{3} - 7 a^{6} + a^{4} = a^{3} (2 - 7 a^{3} + a)\)

\(9 p^{3} q^{2} - 12 p q^{3} = 3 p q^{2} (3 p^{2} - 4 q)\)

\(a^{2} - 25 = (a - 5) (a + 5)\)

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

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

\(64 p^{10} - 121 = (8 p^{5} - 11) (8 p^{5} + 11)\)

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

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

\(x^{12} - 81 = (x^{6} - 9) (x^{6} + 9) = (x^{3} - 3) (x^{3} + 3) (x^{6} + 9)\)

\(2 a^{9} - 162 a = 2 a (a^{8} - 81) = 2 a (a^{4} - 9) (a^{4} + 9) = 2 a (a^{2} - 3) (a^{2} + 3) (a^{4} + 9)\)

\(x^{8} y^{4} - 25 z^{10} = (x^{4} y^{2} - 5 z^{5}) (x^{4} y^{2} + 5 z^{5})\)

\(a^{2} + 17 a + 72 = (a + 9) (a + 8)\)

\(p^{2} - p - 30 = (p - 6) (p + 5)\)

\(x^{2} - 7 x + 10 = (x - 5) (x - 2)\)

\(x^{2} - 12 x + 36 = (x - 6) (x - 6)\)

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

\(a^{8} + 6 a^{4} + 5 = (a^{4} + 5) (a^{4} + 1)\)