分解因式 (x y)的平方-6x的平方-搜答案-智慧作业帮

1/4x²y²-xy³+y⁴=y²(1/3x²-xy+y²)=y²[(1/2x)²-2×(1/2x)y+y&

（x-y）（x-y-2）-3

3x(x^2-2)y^2+6xy^2+9x^2y^2再问：O(∩_∩)O谢谢再答：原式=3x^3-6x^2y+3xy^2提取公因式，得3x(x^2-2xy+y^2)由完全平方公式，得3x(x-y)^2

原式=-y(4x²-4xy+y²)=-y(2x-y)²

3x³-6x²y+3xy²=3x(x²-2xy+y²)=3x(x-y)²

6xy^2-9x^2y-y^3=-y(-6xy+9x^2+y^2)=-y(9x^2-6xy+y^2)=-y(3x-y)^2

双十字相乘.

由x³-2x²y+xy²-x=x（x²-2xy+y²-1)=x[（x-y）²-1]=x（x-y-1）（x-y+1）.再问：分解因式：-49x

1x²+2xy-3y²=x²+2xy+y²-4y²=（x+y）²-(2y)²=(x+y+2y)(x+y-2y)=(x+3y)(x-

3x立方+12xy平方=3x(x²+4y²)

12x的平方+xy--6y的平方=（3x－2y）（4x＋3y）十字相乘3x﹣2y×4x3y

用反证法.假设此多项式能够分解成两个一次因式的积.设x^2-xy+y^2+x+y=(x+ay+b)(x+cy+d)x^2-xy+y^2+x+y=(x+ay+b)(x+y+d)=x^2+(b+d)x+(

2x³-8x²y+8xy²=2x(x²-4xy+4y²)=2x(x-2y)²

5x²-15x³y-20xy²=5x(x-3x²y-20y²)(已为最简)

4x³-xy²=x(4x²-y²)=x[(2x)²-y²]=x(2x+y)(2x-y)

2x的平方-xy-6y的平方=(2x-3y)(x+2y)

2x^2+3xy-2y^2-x+8y-6=(x+2y)(2x-y)-x+8y-6=(x+2y-2)(2x-y+3)

-3x的平方+6xy-3y的平方=-3(x²-2xy+y²)=-3(x-y)²请点击下面的【选为满意回答】按钮,

（x-y+z）(x-y-z)

(xy-1)^2+(x+y-2xy)(x+y-2)=(xy-1)^2+4xy+(x+y)^2-2(xy+1)(x+y)=(xy+1)^2+(x+y)^2-2(xy+1)(x+y)=(x+1)^2(y+