计算.﹙2x+3y﹚﹙2x-3y﹚-﹙x+2y﹚﹙x-2y﹚.[﹙2x+y﹚²-﹙2x+y﹚﹙2x-y﹚]÷2x-y.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 19:36:19
计算.﹙2x+3y﹚﹙2x-3y﹚-﹙x+2y﹚﹙x-2y﹚.[﹙2x+y﹚²-﹙2x+y﹚﹙2x-y﹚]÷2x-y.

计算.﹙2x+3y﹚﹙2x-3y﹚-﹙x+2y﹚﹙x-2y﹚.[﹙2x+y﹚²-﹙2x+y﹚﹙2x-y﹚]÷2x-y.
计算.﹙2x+3y﹚﹙2x-3y﹚-﹙x+2y﹚﹙x-2y﹚.
[﹙2x+y﹚²-﹙2x+y﹚﹙2x-y﹚]÷2x-y.

计算.﹙2x+3y﹚﹙2x-3y﹚-﹙x+2y﹚﹙x-2y﹚.[﹙2x+y﹚²-﹙2x+y﹚﹙2x-y﹚]÷2x-y.
﹙2x+3y﹚﹙2x-3y﹚-﹙x+2y﹚﹙x-2y﹚.
=4X²-9y²-x²+4y²
=3x²-5y²
[﹙2x+y﹚²-﹙2x+y﹚﹙2x-y﹚]÷(2x-y)
=(4x²+4xy+y²-4x²+y²)÷(2x-y)
=(4xy+2y²)/(2x-y)

1原式=4x²-9y²-x²+4y²
=3x²-5y²
(=(√3x+√5y)(√3x-√5y))

2原式=(2x+y)(2x+y-2x+y)/2x-y
=2y(2x+y)/2x-y
=y+y²/2x-y
=y²/2x