x⁴2x⁴y+x⁴y²-2x²+y²-2x²y²+2y+1因式分解
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/17 12:37:35
![x⁴2x⁴y+x⁴y²-2x²+y²-2x²y²+2y+1因式分解](/uploads/image/z/587731-67-1.jpg?t=x%26%238308%3B2x%26%238308%3By%2Bx%26%238308%3By%26%23178%3B-2x%26%23178%3B%2By%26%23178%3B-2x%26%23178%3By%26%23178%3B%2B2y%2B1%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
x)PS0661*,5eCsk]. kUj>m//I*ҧ`PL/ßYdW˅;ndWۓ
Ovzf:{i{?PTſT`YCM>,PP[&dX&]32HVhc4Ia!mFXr0wP6MX)DJ
]
SLF 1
x⁴2x⁴y+x⁴y²-2x²+y²-2x²y²+2y+1因式分解
x⁴2x⁴y+x⁴y²-2x²+y²-2x²y²+2y+1
因式分解
x⁴2x⁴y+x⁴y²-2x²+y²-2x²y²+2y+1因式分解
第二项少了一个符号,猜测应该是减号.
x⁴-2x⁴y+x⁴y²-2x²+y²-2x²y²+2y+1
= (x⁴-2x²+1)y²-2(x⁴-1)y+(1-2x²+x⁴)
= (x²-1)²y²-2(x²-1)(x²+1)y+(x²-1)²
= (x²-1)((x²-1)y²-2(x²+1)y+(x²-1))
= (x-1)(x+1)(x²(y²-2y+1)-(y²+2y+1))
= (x-1)(x+1)(x²(y-1)²-(y+1)²)
= (x-1)(x+1)(x(y-1)-(y+1))(x(y-1)+(y+1))
= (x-1)(x+1)(xy-x-y-1))(xy-x+y+1).