因式分解x^2(3x+5y)^2-y^2(5x+3y)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/12/01 12:42:09
因式分解x^2(3x+5y)^2-y^2(5x+3y)^2
x){:{=O;^,_\ga\mZg[ Vh86IED/!T /ڞOY|ZlN XJ G@OCS W҅ A㌴M+*M.((x?ik a` `_MLGӁN J&JM<;hHۀ9qfΎk=tj=T~

因式分解x^2(3x+5y)^2-y^2(5x+3y)^2
因式分解x^2(3x+5y)^2-y^2(5x+3y)^2

因式分解x^2(3x+5y)^2-y^2(5x+3y)^2
x^2(3x+5y)^2-y^2(5x+3y)^2 逆用积的乘方
=[x(3x+5y)]^2-[y(5x+3y)]^2 用平方差
=[x(3x+5y)+y(5x+3y)][x(3x+5y)-y(5x+3y)]
=(3x^2+5xy+5xy+3y^2)(3x^2+5xy-5xy-3y^2)
=(3x^2+10xy+3y^2)(3x^2-3y^2)提取公因式3
=3(3x^2+10xy+3y^2)(x^2-y^2)用平方差
=3(3x^2+10xy+3y^2)(x+y)(x-y)

^是什么符号啊?