例一: 兩個兩個抽
mn + 2m + 5n + 10
= m(n+2) + 5(n+2) (括號必定相同才可繼續)
= (n+2)(m+5)
例二: 抽完再抽公因數
8mp - 2m + 64p - 16
= 2m(4p-1) + 16(4p-1) (因必定 4p, 可 64÷4=16)
= (4p-1)(2m+16) (再抽公因數 2)
= 2(4p-1)(m+8)
例三: 由前面括號獲取提示
42nr - 48n - 63pr + 72p
= 6n(7r-8) - 9(7r-8)
= (7r-8)(6n-9) (再抽公因數 3)
= 3(7r-8)(2n-3)
例四: 六項 (三個一組)
8pm + 56pn - 32p - 5rm - 35rn + 20r
(因前三項均有 p,用三個一組)
= 8p(m+7n-4) - 5r(m+7n-4)
= (m+7n-4)(8p-5r)