(2x³+9x²y+xy²-12y³)÷(2x+3y)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 18:34:11
![(2x³+9x²y+xy²-12y³)÷(2x+3y)](/uploads/image/z/2770387-43-7.jpg?t=%282x%26%23179%3B%2B9x%26%23178%3By%2Bxy%26%23178%3B-12y%26%23179%3B%29%C3%B7%282x%2B3y%29)
(2x³+9x²y+xy²-12y³)÷(2x+3y)
(2x³+9x²y+xy²-12y³)÷(2x+3y)
(2x³+9x²y+xy²-12y³)÷(2x+3y)
(2x³+9x²y+xy²-12y³)÷(2x+3y)
=(2x³+3x²y+6x²y+9xy²-8xy²-12y³)÷(2x+3y)
=[x²(2x+3y)+3xy(2x+3y)-4y²(2x+3y)]÷(2x+3y)
=(2x+3y)(x²+3xy-4y²)÷(2x+3y)
=x²+3xy-4y²