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：2024/05/08 20:11:06

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？

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