已知xy=¼,则(x+y)²-(x-y)²的值为

来源：学生作业帮助网编辑：作业帮时间：2024/05/16 17:28:08

已知xy=¼,则(x+y)²-(x-y)²的值为
已知xy=¼,则(x+y)²-(x-y)²的值为

已知xy=¼,则(x+y)²-(x-y)²的值为
(x+y)²-(x-y)²
=x²+2xy+y²-(x²+y²-2xy)
=4xy
=4×(1/4)
=1

(x+y)²-(x-y)²
=x²+2xy+y²-x²-y²+2xy
=4xy
=4×(1/4)
=1