作业帮m^6+n^6+2m^3n^3(X+Y)^2(x^2-xy+y^2)^2(2Y-Z){2y(Z+ZY)+Z^2}
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/08 23:16:33
m^6+n^6+2m^3n^3(X+Y)^2(x^2-xy+y^2)^2(2Y-Z){2y(Z+ZY)+Z^2}
m^6+n^6+2m^3n^3
(X+Y)^2(x^2-xy+y^2)^2
(2Y-Z){2y(Z+ZY)+Z^2}
m^6+n^6+2m^3n^3(X+Y)^2(x^2-xy+y^2)^2(2Y-Z){2y(Z+ZY)+Z^2}
(1)=(m^3)^2+(n^3)^2+2m^3n^3=(m^3+n^3)^2=(m+n)^2(m^2+mn+n^2)^2
(2)=[(x+y)(x^2+xy+y^2)]^2=(m^3+n^3)^2跟一题一样
(3)=(2y-z)z(2y+2y^2+z)
m^6+n^6+2m^3n^3
=(m^3+n^3)^2
=(m+n)^2(m^2-mn+n^2)^2
(X+Y)^2(x^2-xy+y^2)^2
m^6+n^6+2m^3n^3 (a+b)^2=a^2+2ab+b^2
=(m^3+n^3)^2
(X+Y)^2(x^2-xy+y^2)^2
=(x+y)^2(x^2-2xy+y^2+xy)^2
={(x+y)[(x-y)^2+xy]}^2
=[(x^2-y^2)(x-y)+xy(x+y)]^2
=(x^3-yx^2-xy^2+y^3...
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m^6+n^6+2m^3n^3 (a+b)^2=a^2+2ab+b^2
=(m^3+n^3)^2
(X+Y)^2(x^2-xy+y^2)^2
=(x+y)^2(x^2-2xy+y^2+xy)^2
={(x+y)[(x-y)^2+xy]}^2
=[(x^2-y^2)(x-y)+xy(x+y)]^2
=(x^3-yx^2-xy^2+y^3+yx^2+xy^2)^2
=(x^3+y^3)^2
(2Y-Z){2y(Z+ZY)+Z^2}
=(2y-z)(2y+2y^2+z)z
=(2y-z){(2y+z)z+2zy^2}
=(4y^2-z^2)z+(2y-z)2zy^2
=4zy^2-z^3+4zy^3-2z^2y^2
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