例题1:用乘法公式进行计算: (1)20192﹣2018×2020. 解:=20192﹣(2022﹣1)×(2022+1) =20192﹣(20222﹣1) =1 (2)112+13×66+392 解:=112+13×2×3×11+392 =112+2×11×39+392 =(11+39)2 =502 =2500 例题2:计算:(2+1)(22+1)(24+1)…(264+1). 解:原式=(2﹣1)(2+1)(22+1)(24+1)…(264+1) =(22﹣1)(22+1)(24+1)…(264+1) =(24﹣1)(24+1)…(264+1)