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1/(1-t^4)=1/[(1-t²)(1+t²)]
=(1/2)×[1/(1-t²)+1/(1+t²)]
=(1/2)[1/(1-t)(1+t)]+(1/2)[1/(1+t²)]
=(1/4)[1/(1-t)+1(1+t)]+(1/2)[1/(1+t²)]
=(1/4)[1/(1-t)+1/(1+t)+2/(1+t²)]
=(1/2)×[1/(1-t²)+1/(1+t²)]
=(1/2)[1/(1-t)(1+t)]+(1/2)[1/(1+t²)]
=(1/4)[1/(1-t)+1(1+t)]+(1/2)[1/(1+t²)]
=(1/4)[1/(1-t)+1/(1+t)+2/(1+t²)]
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