用因式分解计算2^12-2^11-2^10-2^9-2^8-2^7-2^6+3

2^12-2^11-2^10-2^9-2^8-2^7-2^6+3
=2^11(2-1)-2^10-2^9-2^8-2^7-2^6+3
=2^11-2^10-2^9-2^8-2^7-2^6+3
=2^10(2-1)-2^9-2^8-2^7-2^6+3
=2^10-2^9-2^8-2^7-2^6+3
=2^9(2-1)-2^8-2^7-2^6+3
=2^9-2^8-2^7-2^6+3
=2^8(2-1)-2^7-2^6+3
=2^8-2^7-2^6+3
=2^7(2-1)-2^6+3
=2^7-2^6+3
=2^6(2-1)+3
=2^6+3
=64+3
=67
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2^12-2^11-2^10-2^9-2^8-2^7-2^6+3
=2^11*（2-1）-2^10-2^9-2^8-2^7-2^6+3
=2^11-2^10-2^9-2^8-2^7-2^6+3
=2^10*（2-1）-2^9-2^8-2^7-2^6+3
=2^10-2^9-2^8-2^7-2^6+3
=2^9*（2-1）-2^8-2^7-2^6+3
...

2^12-2^11-2^10-2^9-2^8-2^7-2^6+3
=(2^12-2^11)-(2^10+2^9)-(2^8+2^7)-2^6+3
=2^11(2-1)-2^9(2+1)-2^7(2+1)-2^6+3
=2^11-3*2^9-3*2^7-2^6+3
=2^6(2^5-3*2^3-3*2-1)+3
=2^6+3
=67