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将[(X+3/X^2-4)-(-X/6-X-X^2)]/[1-(X^2-3X-15)/(X^2+X-6)]化简

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/06 03:47:46
将[(X+3/X^2-4)-(-X/6-X-X^2)]/[1-(X^2-3X-15)/(X^2+X-6)]化简
[(X+3)/(X^2-4)-(-X)/(6-X-X^2)]/[1-(X^2-3X-15)/(X^2+X-6)]
={(x+3)/[(x+2)(x-2)]-x/[(x+2)(x-3)]}/[(4x+9)/(x+2)(x-3)]
={(x+3)(x-3)/[(x+2)(x-2)(x-3)]-x(x-2)/[(x+2)(x-2)(x-3)]}*(x+2)(x-3)/(4x+9)
=(2x-9)/[(x+2)(x-2)(x-3)]*(x+2)(x-3)/(4x+9)
=(2x-9)/[(x-2)(4x+9)]