大师作文网(1)x+y/x^3-y^3 +2y/y^3-x^3
来源：学生作业帮 编辑：大师作文网作业帮 分类：数学作业 时间：2024/11/17 08:11:33
(1)x+y/x^3-y^3 +2y/y^3-x^3
(2)(1-4x)^2/2x+3 乘 4x^2+12x+9/4x-1
(3)x+2/x+1 - x+3/x+2 - x-4/x-3 + x-5/x-4
(2)(1-4x)^2/2x+3 乘 4x^2+12x+9/4x-1
(3)x+2/x+1 - x+3/x+2 - x-4/x-3 + x-5/x-4
(1)x+y/x^3-y^3 +2y/y^3-x^3
=(x+y-2y)/(x^3-y^3)
=(x-y)/[(x-y)(x^2+xy+y^2)]
=1/(x^2+xy+y^2)
(2)(1-4x)^2/2x+3 乘 4x^2+12x+9/4x-1
=(4x-1)^2/(2x+3)*(2x+3)^2/(4x-1)
=(4x-1)(2x+3)
(3)x+2/x+1 - x+3/x+2 - x-4/x-3 + x-5/x-4
=[(x+1)+1]/(x+1)-(x+2+1)/(x+2)-(x-3-1)/(x-3)+(x-4-1)/(x-4)
=1+1/(x+1)-1-1/(x+2)-1+1/(x-3)+1-1/(x-4)
=(x+2-x-1)/(x+1)(x+2)+(x-4-x+3)/(x-3)(x-4)
=1/(x+1)(x+2)-1/(x-3)(x-4)
=(x^2-7x+12-(x^2+3x+2))/(x+1)(x+2)(x-3)(x-4)
=-10(x-1)/(x+1)(x+2)(x-3)(x-4)
=(x+y-2y)/(x^3-y^3)
=(x-y)/[(x-y)(x^2+xy+y^2)]
=1/(x^2+xy+y^2)
(2)(1-4x)^2/2x+3 乘 4x^2+12x+9/4x-1
=(4x-1)^2/(2x+3)*(2x+3)^2/(4x-1)
=(4x-1)(2x+3)
(3)x+2/x+1 - x+3/x+2 - x-4/x-3 + x-5/x-4
=[(x+1)+1]/(x+1)-(x+2+1)/(x+2)-(x-3-1)/(x-3)+(x-4-1)/(x-4)
=1+1/(x+1)-1-1/(x+2)-1+1/(x-3)+1-1/(x-4)
=(x+2-x-1)/(x+1)(x+2)+(x-4-x+3)/(x-3)(x-4)
=1/(x+1)(x+2)-1/(x-3)(x-4)
=(x^2-7x+12-(x^2+3x+2))/(x+1)(x+2)(x-3)(x-4)
=-10(x-1)/(x+1)(x+2)(x-3)(x-4)
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