作业帮x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/28 17:18:59
x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
=(3x²+5xy)²-(5xy+3y²)²
=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]
=(3x²+10xy+3y²)(3x²-3y²)
=3(3x+y)(x+3y)(x+y)(x-y)
x²(3x+5Y)²-y²(5x+3y)²
=（3x+5y)²(x²-y²)
=(x+y)(x-y)(3x+5y)²