用两种方法计算:(x-y)的2次方*(x+y)的2次方
展开全部
(x-y)^2*(x+y)^2
=(x^2-2xy+y^2)(x^2+2xy+y^2)
=x^4-2x^3y+x^2y^2+2x^3y-4x^2y^2+2xy^3+x^2y^2-2xy^3+y^4
=x^4-2x^2y^2+y^4
(x-y)^2*(x+y)^2
=(x-y)(x+y)(x-y)(x+y)
=(x^2-y^2)(x^2-y^2)
=x^4-x^2y^2-x^2y^2+y^4
=x^4-2x^2y^2+y^4
(x+y)^2(x-y)^2
=((x+y)(x-y))^2
=(x^2-y^2)^2
=x^4-2x^2y^2+y^4
=(x^2-2xy+y^2)(x^2+2xy+y^2)
=x^4-2x^3y+x^2y^2+2x^3y-4x^2y^2+2xy^3+x^2y^2-2xy^3+y^4
=x^4-2x^2y^2+y^4
(x-y)^2*(x+y)^2
=(x-y)(x+y)(x-y)(x+y)
=(x^2-y^2)(x^2-y^2)
=x^4-x^2y^2-x^2y^2+y^4
=x^4-2x^2y^2+y^4
(x+y)^2(x-y)^2
=((x+y)(x-y))^2
=(x^2-y^2)^2
=x^4-2x^2y^2+y^4
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询
广告 您可能关注的内容 |