x² xy-2y²-3x-12y-10分解因式

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x² xy-2y²-3x-12y-10分解因式
(x+y)(x-y)-(2xy+3y)平方

原式=x²-y²-(4x²y²+12xy²+9y²)=x²-y²-4x²y²-12xy²-

x^2-xy-6y^2+3xy+y+2

3xy是3x原式=(x-3y)(x+2y)+3x+y+2十字相乘x-3y2×x+2y1所以原式=(x-3y+2)(x+2y+1)

(xy-x^2)乘以(xy)/(x-y)

对.前提是x不等于y

计算3xy[2xy-x(y-2)+x-1]

3xy[2xy-x(y-2)+x-1]=3xy(2xy-xy+2x+x-1)=3xy(xy+3x-1)=3x^2y^2+9x^2y-3xy

计算:3xy[2xy-x(y-2)+x]

3xy[2xy-x(y-2)+x]=3xy[2xy-xy+2x+x]=3xy(xy+3x)=3x²y²+9x²y

(3xy)平方/(-xy)+(x-2y)平方-(x+2y)(x-2y)=

(3xy)平方/(-xy)+(x-2y)平方-(x+2y)(x-2y)=-9xy+(x-2y)(x-2y-x-2y)=-9xy+(x-2y)(-4y)=-9xy-4xy+8y²=8y

-12xy*3x^2y-x^2y*(-3xy)

-12xy*3x^2y-x^2y*(-3xy)=-36x^3y^2+6x^3y^2=-30x^3y^2

(-3x^y+2xy)-( )=4x^+xy

(-3x^y+2xy)-(4x^+xy)=-3x^y+2xy-4x^-xy=-3x^y+xy-4x^所以填上-3x^y+xy-4x^

因式分解x^3+x^2y-xy^2-y^3

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

x^3-x^2y-xy^2+y^3因式分解

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(x^2+xy/x-y)/(xy/x-y)计算

【x²+xy/(x-y)】/【xy/(x-y)】=【x²(x-y)/(x-y)+xy/(x-y)】/【xy/(x-y)】={【x²(x-y)+xy】/(x-y)}/【xy

因式分解x^3+x^2y-xy^2+y^3

符号好像有问题.x³+x²y-xy²-y³=x²(x+y)-y²(x+y)=(x+y)(x²-y²)=(x-y)(x+y

xy=-2,x+y=3,求代数式(4xy+12y)+[7x-(3xy+4y-x)]

(4xy+12y)+[7x-(3xy+4y-x)]=4xy+12y+7x-3xy-4y+x=xy+8x+8y=xy+8(x+y)=(-2)+8*3=-2+24=22

x^3y+2x^2y^3+xy^3

x^3y+2x^2y^3+xy^3=xy(x^2+2xy+y^2)=xy(x+y)^2再问:公式法——完全平方再答:对,第一步提取公因式

化简:x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)

[(x-y)/(x+3y)]/[(x^2-y^2)/(x^2+6xy+9y^2)]-xy/(x+y)=(x-y)/(x+3y)*(x+3y)^2/(x-y)(x+y)-xy/(x+y)=(x+3y)/

[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y

[x(x^2y^2-xy)-y(x^2-x^3y)]/(3x^2y)={x[xy(xy-1)]-y[x²(1-xy)]}/(3x²y)=[x²y(xy-1)-yx&sup

1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y)

1、(-7x^y)(2x^y-3xy^3+xy)=-14x^(2y)+21x^(y+1)y^3-7x^(y+1)y;2、((x-y)^6)/((y-x)^3)/(x-y)=-(x-y)^3/(x-y)

x^2y+3xy^2-x-3y因式分解

x²y+3xy²-x-3y=xy(x+3y)-(x+3y)=(x+3y)(xy-1)

(x-2xy)*(-xy+2y*y)-(3x*x-2xy)(x-9xy+6y*y)

原式=-x²y+2xy²+2x²y²-4xy³-3x³+27x³y-18x²y²+2x²y-18x&

-x^3y^3-x^2y^2-xy 因式分解.

-x³y³-x²y²-xy=-xy(x²y²+xy+1)