(a+1)(a+2)=a²+3a+2 ;(a+1)(a-2)=a²-a-2
(a-1)(a+2)=a²+a-2 ;(a-1)(a-2)=a²-3a+2
从上面的计算中总结规律(x+2)(x+b)=x²+(2+b)x+2b
运用上面的规律,写出下列各式的结果
(1) (x+2009)(x-1000)=x²+1009x-2009000
(2)(x-2009)(x-2000)=x²-4009x+4018000
(a+1)(a+2)=a²+3a+2 ;(a+1)(a-2)=a²-a-2
(a-1)(a+2)=a²+a-2 ;(a-1)(a-2)=a²-3a+2
从上面的计算中总结规律(x+2)(x+b)=x²+(2+b)x+2b
运用上面的规律,写出下列各式的结果
(1) (x+2009)(x-1000)=x²+1009x-2009000
(2)(x-2009)(x-2000)=x²-4009x+4018000