因式分解:25(x+y)²-9(x-y)²;(x+y)²-4(x+y-1).

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/28 11:16:58
因式分解:25(x+y)²-9(x-y)²;(x+y)²-4(x+y-1).
x){:{=O;^,_~,#S JM5eCs k]K ]t%J@t Bz6IET4MΆڮí,m 5BP.DQEEQ&D(fRR]dC :z#8#<;P

因式分解:25(x+y)²-9(x-y)²;(x+y)²-4(x+y-1).
因式分解:25(x+y)²-9(x-y)²;(x+y)²-4(x+y-1).

因式分解:25(x+y)²-9(x-y)²;(x+y)²-4(x+y-1).
25(x+y)²-9(x-y)²
=[5(x+y)-3(x-y)][5(x+y)+3(x-y)]
=(2x+8y)(8x+2y)
=4(x+4y)(4x+y)

(x+y)²-4(x+y-1).
=(x+y)²-4(x+y)+4
=(x+y-2)^2