计算[(x+y)平方-(x-y)平分-4x平分y平分]÷(2xy)

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/15 01:46:13
计算[(x+y)平方-(x-y)平分-4x平分y平分]÷(2xy)
x){nuӣ5*+5lN] ]0iGIQ bo0ԴI*'W~ EFkDhGj)jD&F$0ki1A7ī(m"hrt6yvP_ۀ9v>gkO

计算[(x+y)平方-(x-y)平分-4x平分y平分]÷(2xy)
计算[(x+y)平方-(x-y)平分-4x平分y平分]÷(2xy)

计算[(x+y)平方-(x-y)平分-4x平分y平分]÷(2xy)
[(X+Y)²-(X-Y)²-4X²Y²]/(2XY)
=[(X+Y-X+Y)(X+Y+X-Y)-4X²Y²]/(2XY)
=[4XY-4X²Y²]/(2XY)
=4XY[1-XY]/(2XY)
=2[1-XY]
=2-2XY

等于2加2xy

原式=(x²+2xy+y²-x²+2xy-y²-4x²y²)÷2xy
=(4xy-4x²y²)÷2xy
=2-2xy