南山集团现在的董事长:数学问题求助

来源:百度文库 编辑:查人人中国名人网 时间:2024/04/29 03:46:59
分解因式X^3乘以(X-2Y)+Y^3乘以(2X-Y)

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

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

1.X^3*(X-2Y)+Y^3*(2X-Y)
=(X-2Y)(X^3+Y^3)
=(X-2Y)(X+Y)(X^2-XY+Y^2)