作业帮计算：(1)/(x-3)÷(x+2)/(x^2-9)-(1)/(x^2+5x+6)
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/27 18:08:56
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计算：(1)/(x-3)÷(x+2)/(x^2-9)-(1)/(x^2+5x+6)
计算：(1)/(x-3)÷(x+2)/(x^2-9)-(1)/(x^2+5x+6)
计算：(1)/(x-3)÷(x+2)/(x^2-9)-(1)/(x^2+5x+6)
1/(x-3)÷(x+2)/(x^2-9)-1/(x^2+5x+6)
=1/(x-3)÷(x+2)/[(x-3)(x+3)]-1/(x+2)(x+3)
=1/(x-3)*(x-3)(x+3)/(x+2)-1/(x+2)(x+3)
=(x+3)/(x+2)-[1/(x+2)-1/(x+3)]
=(x+3)/(x+2)-1/(x+2)+1/(x+3)
=(x+3-1)/(x+2)+1/(x+3)
=1+1/(x+3)
=(x+3+1)/(x+3)
=(x+4)/(x+3)
计算：(1)/(x-3)÷(x+2)/(x^2-9)-(1)/(x^2+5x+6)
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