化简(1/(x-y)-1/(x+y))/(2y/(x^2-2xy+y^2))

来源：学生作业帮编辑：灵鹊做题网作业帮分类：数学作业时间：2024/06/28 11:23:24

化简(1/(x-y)-1/(x+y))/(2y/(x^2-2xy+y^2))
要具体的过程

(1/(x-y)-1/(x+y))/(2y/(x^2-2xy+y^2))
先对分子通分,公分母是(x-y)(x+y)
=([(x+y)-(x-y)]/[(x-y)(x+y)])÷[2y/(x-y)²]
=(2y/[(x-y)(x+y)])÷[2y/(x-y)²]
=(x-y)²/[(x-y)(x+y)]
约分,上下同时约去公因子(x-y)
=(x-y)/(x+y)
公式:x²-2xy+y²=(x+y)²

1、(-7x^y)(2x^y-3xy^3+xy) 2、((x-y)^6)/((y-x)^3)/(x-y) (x+y-2xy)(x+y-2)+(1-xy)² 1、x(x-y)(x+y)-x(x+y)^2 因式分解：x×x-xy-2y×y-x-y 化简：x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y) 【(x-y)^3(x^1/2+y^1/2)^-3+3(x根号y-y根号x)】/(x根号x+y根号y)+(2xy根号xy- x^2+y^2-x-y-xy+1如何因式分解 X平方-XY-6Y平方+2X-Y+1 x+y=1,xy=-1/2,求x(x+y)(x-y)-x(x+y)2 化简(x平方-y平方)/(x+y)+(x平方-2xy+y平方)/(x-y) 【(1)/(x-y)+(1)/(x-y)】÷(2x)/(x²-2xy+y²) 已知x+y=-1,xy=-2,求代数式-5（x+y)+(x-y)+x(xy+y)的值