化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程

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化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程
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化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程
化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)
要过程

化简1/x(x+3)+1/(x+3)(x+6)+1/(x+6)(x+9)+…+1/(x+96)(x+99)要过程
原式＝(1/3)[1/X-1/(X+3)]+(1/3)[1/(X+3)-1/(X+6)]+……+(1/3)[1/(X+96)-1/(X+99)]
=(1/3)[1/X-1/(X+3)+1/(X+3)-1/(X+6)+……+1/(X+96)-1/(X+99)]
=(1/3)[1/X-1/(X+99)]
=(1/3)[99/X(X+99)]
=33/X(X+99)