(p^2-p-6)(p^2-7p+6)+56因式分解
2个回答

(p^2-p-6)(p^2-7p+6)+56

=(p+2)(p-3)(p-1)(p-6)+56

=[(p+2)(p-6)][(p-3)(p-1)]+56

=(p^2-4p-12)(p^2-4p+3)+56

=(p^2-4p)^2-9(p^2-4p)-36+56

=(p^2-4p)^2-9(p^2-4p)+20

=(p^2-4p-4)(p^2-4p-5)

=(p-2)^2(p+1)(p-5)