(a+1)(a+3)(a+5)(a+7)+15
=(a+1)(a+7)(a+3)(a+5)+15
=(a²+8a+7)(a²+8a+15)+15
设a²+8a+11=A
(a+1)(a+3)(a+5)(a+7)+15
=(A-4)(A+4)+15
=A²-16+15
=A²-1
=(A+1)(A-1)
=(a²+8a+12)(a²+8a+10)
=(a+2)(a+6)(a²+8a+10)
(a+1)(a+3)(a+5)(a+7)+15
=(a+1)(a+7)(a+3)(a+5)+15
=(a²+8a+7)(a²+8a+15)+15
设a²+8a+11=A
(a+1)(a+3)(a+5)(a+7)+15
=(A-4)(A+4)+15
=A²-16+15
=A²-1
=(A+1)(A-1)
=(a²+8a+12)(a²+8a+10)
=(a+2)(a+6)(a²+8a+10)