2xy/x^2-y^2+x/x+y, (a^2/a-2-4/a-2)X1/a^2+2a)Xa^2+2a, (1+3/x-1)÷x+2/x^2-1化简

来源：学生作业帮助网编辑：作业帮时间：2024/05/04 20:03:15

2xy/x^2-y^2+x/x+y, (a^2/a-2-4/a-2)X1/a^2+2a)Xa^2+2a, (1+3/x-1)÷x+2/x^2-1化简
2xy/x^2-y^2+x/x+y, (a^2/a-2-4/a-2)X1/a^2+2a)Xa^2+2a, (1+3/x-1)÷x+2/x^2-1化简

2xy/x^2-y^2+x/x+y, (a^2/a-2-4/a-2)X1/a^2+2a)Xa^2+2a, (1+3/x-1)÷x+2/x^2-1化简
解1题：
原式=2xy/(x²-y²)+x/(x+y)
=2xy/[(x+y)(x-y)]+[x(x-y)]/[(x+y)(x-y)]
=[2xy+x(x-y)]/[(x+y)(x-y)]
=(2xy+x²-xy)/[(x+y)(x-y)]
=(x²+xy)/[(x+y)(x-y)]
=[x(x+y)]/(x+y)(x-y)]
=x/(x-y)
解2题：
原式=[a²/(a-2)-4/(a-2)]×[1/(a²+2a)]×(a²+2a)
=[(a²-4)/(a-2)]
=[(a+2)(a-2)]/(a-2)
=a+2
解3题：
原式=[1+3/(x-1)]÷[(x+2)/(x²-1)]
=[(x-1+3)/(x-1)]×[(x²-1)/(x+2)]
=[(x+2)/(x-1)]×[(x+1)(x-1)/(x+2)]
=x+1

马王

(-x-y)(x^2+xy+y^2) 化简x^-y^/x^-2xy+y^ 2*(x-y)²(y-x)(xy) （x^2+xy/x-y)/（xy/x-y)计算 X-Y/2X+2Y XY/X+Y² 因式分解：x×x-xy-2y×y-x-y (x+y)/x /(x-(2xy-y^2)/x) 因式分解代数 x^-y^/ x^-(y-z)^ 除以 x^+2xy+y^/(x-y)^-z^ 乘 x^+xy-xz/x^-xy 因式分解:12xy^2(y-x)+xy^3(x-y)+4x^2y(x-y) (x-y)[(x+y)^2-xy]+(x-y)[(x-y)^2+xy] x根号x+x根号y/xy-y^2)-（x+根号xy+y/x根号x-y根号）y .(x+y-2)(x+y-2xy)+(xy-1)^2 (x^2-xy)y÷y-x/xy怎么做? [x(x^2y^2-xy)-y(x^2-x^3y)]/(2x^2y) [x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y [x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y 2xy/(x+y)(x+y)与x/(x+y)(x-y)怎么通分 (x+y)(x+y+2xy)+(xy+1)(xy-1)(x+y)(x-y)+4(y-1)