作业帮(5x^4-10x^3y+25x^2y^2)除以(-5x^2)=_____________________
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/07/13 21:55:10
(5x^4-10x^3y+25x^2y^2)除以(-5x^2)=_____________________
(5x^4-10x^3y+25x^2y^2)除以(-5x^2)
=5x^4/(-5x^2)-10x^3y/(-5x^2)+25x^2y^2/(-5x^2)
=-5x^4/5x^2+10x^3y/5x^2-25x^2y^2/5x^2
=-x^2+2xy-5y^2
再问： 10x^3y/5x^2和-25x^2y^2/5x^2为什么等于2xy和-5y^2？
再答： 10x^3y/5x^2 =10/5 x^(3-2)y =2xy -25x^2y^2/5x^2 =-25/5 x^(2-2)y^2 =-5x^0y^2 =-5y^2
=5x^4/(-5x^2)-10x^3y/(-5x^2)+25x^2y^2/(-5x^2)
=-5x^4/5x^2+10x^3y/5x^2-25x^2y^2/5x^2
=-x^2+2xy-5y^2
再问： 10x^3y/5x^2和-25x^2y^2/5x^2为什么等于2xy和-5y^2？
再答： 10x^3y/5x^2 =10/5 x^(3-2)y =2xy -25x^2y^2/5x^2 =-25/5 x^(2-2)y^2 =-5x^0y^2 =-5y^2
(5x^4-10x^3y+25x^2y^2)除以(-5x^2)=_____________________
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