x²(3x+5Y)²-y²(5x+3y)² 因式分解 感激不尽!
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/02 14:05:59
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!](/uploads/image/z/4735924-52-4.jpg?t=x%26%23178%3B%283x%2B5Y%29%26%23178%3B-y%26%23178%3B%285x%2B3y%29%26%23178%3B+%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3+%E6%84%9F%E6%BF%80%E4%B8%8D%E5%B0%BD%21)
=(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)
=[(3x²+5xy)+(5xy+3y²)][(3x²+5xy)-(5xy+3y²)]
=(3x²+10xy+3y²)(3x²-3y²)
=3(3x+y)(x+3y)(x+y)(x-y)