因事分解 X三+2x二y+2xy二+y三我用大写表示指数!

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因事分解 X三+2x二y+2xy二+y三我用大写表示指数!
因事分解
X三+2x二y+2xy二+y三
我用大写表示指数!

因事分解 X三+2x二y+2xy二+y三我用大写表示指数!
=(X三+Y三)+2XY(X+Y)
=(X+Y)(X二-XY+Y二+2XY)
=(X+Y)(X二+XY+Y二)

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

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

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

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