分解因式:X3+2X2Y+2XY2+Y3=
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分解因式:X3+2X2Y+2XY2+Y3=分解因式:X3+2X2Y+2XY2+Y3=分解因式:X3+2X2Y+2XY2+Y3=解x³+2x²y+2xy²+y³=
分解因式:X3+2X2Y+2XY2+Y3=
分解因式:X3+2X2Y+2XY2+Y3=
分解因式:X3+2X2Y+2XY2+Y3=
解
x³+2x²y+2xy²+y³
=(x³+y³)+(2x²y+2xy²)
=(x+y)(x²-xy+y²)+2xy(x+y)
=(x+y)(x²+xy+y²)
X3+2X2Y+2XY2+Y3=
=X3+3X2Y+3XY2+Y3-（X2Y+XY2）
=（x+y)3-（x+y）xy
=(x+y)[(x+y)2-xy]
=(x+y)(x2+xy+y2)
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