几道因式分解题4X的四次方+1X的三次方-3X+2(X+Y-2XY)(X+Y-2)+(XY-1)²(X+1)(X+2)(X+3)(x+6)+X²X-2Y=8/20072X+Y=2007/3 不解方程组,求9X²-15XY-6Y²的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 00:52:11
![几道因式分解题4X的四次方+1X的三次方-3X+2(X+Y-2XY)(X+Y-2)+(XY-1)²(X+1)(X+2)(X+3)(x+6)+X²X-2Y=8/20072X+Y=2007/3 不解方程组,求9X²-15XY-6Y²的值](/uploads/image/z/5896240-16-0.jpg?t=%E5%87%A0%E9%81%93%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%E9%A2%984X%E7%9A%84%E5%9B%9B%E6%AC%A1%E6%96%B9%2B1X%E7%9A%84%E4%B8%89%E6%AC%A1%E6%96%B9-3X%2B2%28X%2BY-2XY%29%28X%2BY-2%29%2B%28XY-1%29%26%23178%3B%28X%2B1%29%28X%2B2%29%28X%2B3%29%28x%2B6%29%2BX%26%23178%3BX-2Y%3D8%2F20072X%2BY%3D2007%2F3+%E4%B8%8D%E8%A7%A3%E6%96%B9%E7%A8%8B%E7%BB%84%2C%E6%B1%829X%26%23178%3B-15XY-6Y%26%23178%3B%E7%9A%84%E5%80%BC)
几道因式分解题4X的四次方+1X的三次方-3X+2(X+Y-2XY)(X+Y-2)+(XY-1)²(X+1)(X+2)(X+3)(x+6)+X²X-2Y=8/20072X+Y=2007/3 不解方程组,求9X²-15XY-6Y²的值
几道因式分解题
4X的四次方+1
X的三次方-3X+2
(X+Y-2XY)(X+Y-2)+(XY-1)²
(X+1)(X+2)(X+3)(x+6)+X²
X-2Y=8/2007
2X+Y=2007/3 不解方程组,求9X²-15XY-6Y²的值
几道因式分解题4X的四次方+1X的三次方-3X+2(X+Y-2XY)(X+Y-2)+(XY-1)²(X+1)(X+2)(X+3)(x+6)+X²X-2Y=8/20072X+Y=2007/3 不解方程组,求9X²-15XY-6Y²的值
4X的四次方+1
=4x^4+4x^2+1-4x^2
=(2x^2+1)^2-4x^2
=(2x^2+2x+1)(2x^x-2x+1)
X的三次方-3X+2
=x^3-1-3x+3
=(x-1)(x^2+x+1)-3(x-1)
=(x-1)(x^2+x+1-3)
=(x-1)^2(x+2)
(X+Y-2XY)(X+Y-2)+(XY-1)²
=(x+y)²-2(x+y)-2xy(x+y)+4xy+x²y²-2xy+1
=(x+y)²-2xy(x+y)+x²y²+2xy-2(x+y)+1
=(x+y-xy)²-2(x+y-xy)+1
=(x+y-xy-1)²
=(y-1)²(1-x)²
(X+1)(X+2)(X+3)(x+6)+X² 14相乘 23相乘
=(x²+7x+6)(x²+5x+6)+x²
=(x²+6)²+12x(x²+6)+36x²
=(x²+6x+6)²
X-2Y=8/2007
2X+Y=2007/3 修改为3x+y
不解方程组,求9X²-15XY-6Y²的值
9x²-15xy-6y²
=3(3x²-5xy-2y²)=3(3x+y)(x-2y)=8