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)(

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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

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

已知2x-y=1／16 xy=4 求2x四次方y三次方减x的三次方y的四次方 1...已知2x-y=4,xy=3,求2x四次方y三次方-x方y 2...若x三次方-x-1=0,求2x方-2x+201 因式分解 X的4次方-2Y的四次方-2X的三次方Y+XY的三次方已知x+y=a,xy=b,求（1）x平方+y平方（2）x三次方+y三次方（3）x四次方+y四次方（4）x六次方+y六次方已知3x-y=二分之一,xy=2,求3x四次方y三次方-x三次方y四次方的值求X四次方-2Y四次方-3XY二次方+X二次方Y+2XY二次方+3Y四次方.X四次方+Y的四次方=15,X的二次方Y-X (-4X²Y）(-X²Y²)÷1\2XY 的三次方已知xy=1,x+y=3,求代数式x三次方y+2x²y²+xy三次方的值 x的三次方-36x+12x² 分解因式 2x²-4xy＋2y² xy-1\2x的平方y的平方-1\3xy-1\2x的平方y的平方+x的四次方y的四次方已知x-y=2,xy=-1,求代数式x平方y四次方-2x三次方y三次方+x四次方y平方的值分解因式：x的三次方-2x的平方y+xy的平方-x