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write:Thefirststepistoactuallyaddthetwotermsbackup. Thisisusuallysimplerthanitmightappeartobe. Recallthatwefirstneedtheleastcommondenominator butwe’vealreadygotthatfromtheoriginalratio

bycomparingtothetableaboveitlookslikethepartialfractiondecompositionmustlooklike
8x42x2+3×18=Ax+6+Bx3Notethatwe’vegotdifferentcoefficientsforeachtermsincethereisnoreasontothinkthattheywillbethesame.Now
weneedtodeterminethevaluesofAandB.Thefirststepistoactuallyaddthetwotermsbackup.Thisisusuallysimplerthanitmightappeartobe.Recallthatwefirstneedtheleastcommondenominator
butwe’vealreadygotthatfromtheoriginalrationalexpression.Inthiscaseitis
LCD=(x+6)(x3)©PaulDawkinsAlgebra–310–

 

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