计算下面的题(过程)(a-b)(-a-b)(x-y)(y+x)^2(x-y+z)^2(x^2+y^2)(x^4+y^4)
1人问答
问题描述：
计算下面的题(过程)
(a-b)(-a-b)
(x-y)(y+x)^2
(x-y+z)^2
(x^2+y^2)(x^4+y^4)
林文龙回答：
1.(a-b)(-a-b)
=-(a-b)(a+b)=b^2-a^2
2.(x-y)(y+x)^2
=(x-y)(y+x)*(x+y)=(x^2-y^2)(x+y)=x^3-y^3+x^2y-xy^2
3.(x-y+z)^2
=[(x-y)+z]^2=(x-y)^2+z^2+2z(x-y)
=x^2+y^2+2xy+z^2+2xz-zyz
4.(x^2+y^2)(x^4+y^4)
=x^2*(x^4+y^4)+y^2*(x^4+y^4)
=x^6+y^6+x^2y^4+y^2x^4
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