求20道分式计算题(不是应用题)、带过程和答案的、谢谢啦!

来源:百度知道 编辑:UC知道 时间:2024/05/21 08:06:14

2 a+1-a+3 a2-4a-5÷a2-9 a2-3a-10.解 原式=[x+2 x(x-2)-x-1(x-2)2]•x 4-x (括号内分式的分母中的多项式式分解因式.分式的除法法则) =[(x+2)(x-2)x(x-2)2-x(x-1)x(x-2)2]•x4-x(异分母的分式减法的法则) =x2-4-x2+x x(x-2)2•x4-x (整式运算) =x-4x(x-2)2•x4-x (合并同类项) =x-4 x(x-2)2•(-xx-4) (分式的符号法则) =-1(x-2)2. (分式的乘法法则)计算x+y x2-xy +(x2-y2 x)2•(1 y-x)3.解 原式=x+y x(x-y)+(x+y)2(x-y)2x2•1(y-x)3 =x+y x(x-y)-(x+y)2 x2(x-y) =x2+xy-x2-2xy-y2 x2(x-y) =-xy-y2 x2(x-y)=-xy+y2 x2(x-y).x-y+4xy x-y)(x+y-4xyx+y)答案x2-y2[1 (a+b)2-1(a-b)2]÷(1a+b-1a-b)答案2a (a+b)(a-b); x x-y• y2 x+y-x4y x4-y4÷x2 x2+y2答案-xy x+y3x-2 x2-x-2+(1-1x+1)÷(1+1x-1)答案x2 (x+1)(x-2);(2x x+1+2 x-1+4x x2-1)×(2x x+1+2 x-1-4x x2-1).答案4(2m^2-4m)/(2-m)(m-1)-(1+m)/(1-m^2)=2m(m-2)/(2-m)(m-1)-(1+m)/(1-m)(1+m)=-2m/(m-1)-1/(1-m)=(2m-1)/(1-m)(-1)-a^2)/(a-1)-a=(1-a-a^2-a^2+a)/(a-1)=-(2a^2-1)/(a-1)(5/x-1)-(3/x+2)+(3/x+3)-(5/x-2)原式=[5(x+2)-3(x-1)]/(x-1)(x+2)-[5(x+3)-3(x-2)]/(x-2)(x+3)=(2x+13)