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Leta, bandcbe suchthat(1)/((1 - x ) (1 -2x)(1 - 3x)) = (a ) /( 1- x )+(b)/(1- 2x )+(c )/( 1- 3x ),then(a )/(1) + (b)/(3)+(c )/(5)is equal to |
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Answer» ` (1)/(15) ` substituingx= 2 inequation(1) `(1)/((1 - 2)(1 - 2(2)) (1 - 3(2)))=(a)/((1- 2))+(b)/((1-2(2))) + (c )/((1-3(2))) ` ` rArr(1)/(-15)= - a+ (b)/((-3))+ (c )/((-5)) ` ` rArr(1)/(15) = (a)/(1) + (b)/(3)+ (c )/(5) ` |
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