化简x³-3x²+6xy-12y²+8y³和x³-2x²+1快啊!
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/01 03:33:58
![化简x³-3x²+6xy-12y²+8y³和x³-2x²+1快啊!](/uploads/image/z/1994989-13-9.jpg?t=%E5%8C%96%E7%AE%80x%26%23179%3B-3x%26%23178%3B%2B6xy-12y%26%23178%3B%2B8y%26%23179%3B%E5%92%8Cx%26%23179%3B-2x%26%23178%3B%2B1%E5%BF%AB%E5%95%8A%21)
化简x³-3x²+6xy-12y²+8y³和x³-2x²+1快啊!
化简x³-3x²+6xy-12y²+8y³和x³-2x²+1
快啊!
化简x³-3x²+6xy-12y²+8y³和x³-2x²+1快啊!
x³-3x²+6xy-12y²+8y³
=x³+8y³-3x²+6xy-12y²
=(x+2y)(x²-2xy+4y²)-3(x²-2xy+4y²)
=(x²-2xy+4y²)(x+2y-3)
x³-2x²+1
=x³-x²-(x²-1)
=x²(x-1)-(x+1)(x-1)
=(x-1)(x²-x-1)