化简分式计算①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)②、m/m-n-n/m+n+2mn/m^2-n^2

来源：学生作业帮助网编辑：作业帮时间：2024/04/28 16:08:51

化简分式计算①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)②、m/m-n-n/m+n+2mn/m^2-n^2
化简分式计算
①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)
②、m/m-n-n/m+n+2mn/m^2-n^2

化简分式计算①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)②、m/m-n-n/m+n+2mn/m^2-n^2
①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)
=x^2/(x-y)+y^2/(x-y)-2xy(x-y)/(x-y)^2
=(x^2+y^2)/(x-y)-2xy/(x-y)
=(x^2+y^2-2xy)/(x-y)
=x-y
②、m/m-n-n/m+n+2mn/m^2-n^2
={m(m+n)-n(m-n)}/(m^2-n^2)+2mn/(m^2-n^2)
=(m^2+n^2+2mn)/(m+n)(m-n)
=(m+n)/(m-n)

①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)
=x^2+y^2/x-y - 2xy（x-y）/（x-y）^2
=x^2- 2xy+y^2/x-y
=x-y
②、m/m-n-n/m+n+2mn/m^2-n^2
=m^2+n^2/（m+n）（m-n）+ 2mn/（m+n）（m-n）
=m+n/m-n

①、(x+y)*x^2/x^2-y^2+y^2/x-y-(2x^2y-2xy^2)/(x^2-2xy+y^2)
=x^2/(x-y)+y^2/(x-y)-2xy(x-y)/(x-y)^2
=(x^2+y^2)/(x-y)-2xy/(x-y)
=(x^2+y^2-2xy)/(x-y)
=x-y
②、m/m-n-n/m+n+2mn/m^2-n^2
={m(m+n)-n(m-n)}/(m^2-n^2)+2mn/(m^2-n^2)
=(m^2+n^2+2mn)/(m+n)(m-n)
=(m+n)/(m-n)

y=1/x-2 分式计算 (x/x+y-x/y-x-2xy/x.x-y.y)/(1/x-1/y) 分式化简 (2x-y)/(2x+y)化简该分式化简分式(x-y)/x^2+y^2 用分式加减法计算：3x-y/2x-y - x-y/y-2x 分式计算：x+y分之x^2-x+y=?(x+y分之x^2)-x+y=? 分式计算(x-y-4y^2/x-y)(x+y-4x^2/x+y)=? 化简分式① 2x³（y-x）³/4y（x-y）²①2x³（y-x）³/4y（x-y）²②-x²+ 6x-9/x²-9 两个计算分式题①x^2+1/x-6②y^2-x^2/5x^2-4xy 化简分式方程:x*x-xy-y*y/x*x-3x-6y+2xy 1 x+y分之x-y分之x=?分式计算 2 x-1-x+1分之x平方=?分式计算 3 x+1分之x平方-x+1=?分式计算化简分式y-1/x分之x-1/y 分式化简：（x/x-y-y/y-x）（x-y）分式-3ab^2分之-x^3y计算计算[4/(x^2-y^2)+(x+y)/(xy^2-x^2y)]除[(x+2y)(x-y)/(x^2+2xy^2)分式计算数学化简分式只要结果就ok{2/3x-2/(x+y)[(x+y)/3x-x-y]}/【(x-y)/x】数学分式化简计算x+[1/(x-1)]+[(x^2-3x+4)/(1-x^2)] (x-y+(4xy/x-y))(x+y-(4xy/x+y)) 分式计算