作业帮1.因式分解 4（x-y）²-9（x+y）²
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/13 22:52:19
x)3{:{=O;^,_`~OGn=jʆֺ mMR> lȴ*;7?u`F@@UP6 QaTkTk\k\ hWh9Py
]S)HDH !_\g
o>o0cڋ#[4'9f "ج#.f* lN%ؤ8#ǁb0OMS `z kQ OH
`]#J$
1.因式分解 4（x-y）²-9（x+y）²
1.因式分解 4（x-y）²-9（x+y）²
1.因式分解 4（x-y）²-9（x+y）²
4（x-y）²-9（x+y）² 平方差
=[2(x-y)-3(x+y)][2(x-y)+3(x+y)]
=(2x-2y-3x-3y)(2x-2y+3x+3y)
=(-x-5y)(5x+y)
=-(x+5y)(5x+y)
原式=[2(x-y)]²-[3(x+y)]²
=[2(x-y)+3(x+y)][2(x-y)-3(x+y)]
=-(5x+y)(x+5y)
4（x-y）²-9（x+y）²
=[2(x-y)+3(x+y)[(2(x-y)-3(x+y)]
=(5x+y)(-x-5y)
=-(5x+y)(x+5y)
4(x-y)^2-9(x+y)^2=[2(x-y)]^2-[3(x+y)]^2
=[2(x-y)+3(x+y)][2(x-y)-3(x+y)]
=(5x+y)(-x-5y)
=-(x+5y)(5x+y)
-5(x²+Y²）-26xy