x³-x²y-xy²+y³(因式分解)

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x³-x²y-xy²+y³(因式分解)
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x³-x²y-xy²+y³(因式分解)
x³-x²y-xy²+y³(因式分解)

x³-x²y-xy²+y³(因式分解)
x³-x²y-xy²+y³
=x²(x-y)-y²(x-y)
=(x²-y²)(x-y)
=(x+y)(x-y)(x-y)
=(x+y)(x-y)²

原式=x²(x-y)-y²(x-y)=(x-y)（x²-y²）=（x-y）²（x+y)

x³-x²y-xy²+y³
=(x^3+y^3)-xy(x+y)
=(x+y)(x^2-xy+y^2)-xy(x+y)
=(x+y)(x^2-2xy+y^2)
=(x+y)(x-y)^2

x³y³-x²y²-xy+1 x³-x²y-xy²+y³(因式分解) 3x³ - 6x²y+ 3xy² 因式分解 4xy²-4x²y-y³ 6xy²-9x²y-y³ 6xy²-9x²y-y³因式分解 6xy²-9x²-y³ x³-x ²y-xy ²+y³怎么因式分解 降幂的题,x³-y³+3x²y-4xy²= 计算 ①[x(x²y²-xy)-y(x²-x³y)]÷3x²y 计算：[x(x²y²-xy)-y(x²-x³y)]÷3x²y [x(x²y²-xy)-y(x²-x³y)]÷3x²y 计算：-2y³+（3xy²-x²y）-2（xy²-y³） (1/3xy)²*(-12x²y²)÷(-4/3x³y) 16x²-64 y³4xy²+4x²y 计算：3x²y×（-2xy³） 几道因式分解 （1）x³+x²+2xy+y²+y³（2）x³+3x²y+3xy²+y³（3）x³-3x²y+3xy²-y³（4）x³+3x²+3x+2 （xy－x²）³－x³（y－x）因式分解 帮一下吧