计算下列各式,然后回答问题.
(a+4)(a+3)=______;(a+4)(a-3)=______:
(a-4)(a+3)=______;(a-4)(a-3)=______.
(1)从上面的计算中总结规律,写出下式结果.
(x+a)(x+b)=______.
(2)运用上述结果,写出下列各题结果.
①(x+2012)(x-1000)=______;
②(x-2012)(x-2000)=______.
网友回答
解:(a+4)(a+3)=a2+7a+12;(a+4)(a-3)=a2+a-12;
(a-4)(a+3)=a2-a-12;(a-4)(a-3)=a2-7a+12.
(1)(x+a)(x+b)=x2+(a+b)x+ab.
(2)①(x+2012)(x-1000)=x2+1012x-2?012?000;
②(x-2012)(x-2000)=x2-4?012x+4?024?000.
故