please solve the question:

Asked by manasd | 17th Sep, 2015, 10:30: PM

Expert Answer:

L e t space S equals 1 plus 2 squared X plus 3 squared X squared plus 4 squared X cubed plus 5 squared X to the power of 4 plus.... space left parenthesis 1 right parenthesis rightwards double arrow X S equals space space space space space space space space space X plus 2 squared X squared plus 3 squared X cubed plus 4 squared X to the power of 4 plus.... space left parenthesis 2 right parenthesis S u b t r a c t i n g space left parenthesis 2 right parenthesis space f r o m space left parenthesis 1 right parenthesis comma space w e space g e t open parentheses 1 minus X close parentheses S equals 1 plus open parentheses 2 squared minus 1 close parentheses X plus open parentheses 3 squared minus 2 squared close parentheses X squared plus open parentheses 4 squared minus 3 squared close parentheses X cubed plus open parentheses 5 squared minus 4 squared close parentheses X to the power of 4 plus... rightwards double arrow open parentheses 1 minus X close parentheses S equals 1 plus 3 X plus 5 X squared plus 7 X cubed plus 9 X to the power of 4 plus... left parenthesis 3 right parenthesis rightwards double arrow X open parentheses 1 minus X close parentheses S equals space space space space space X plus 3 X squared plus 5 X cubed plus 7 X to the power of 4 plus 9 X to the power of 5 plus... left parenthesis 4 right parenthesis S u b t r a c t i n g space left parenthesis 4 right parenthesis space f r o m space left parenthesis 3 right parenthesis comma space w e space g e t space open parentheses 1 minus X close parentheses S minus X open parentheses 1 minus X close parentheses S equals 1 plus 2 X plus 2 X squared plus 2 X cubed plus 2 X to the power of 4 plus... rightwards double arrow open parentheses 1 minus X close parentheses squared S equals 1 plus fraction numerator 2 X over denominator 1 minus X end fraction rightwards double arrow S equals 1 over open parentheses 1 minus X close parentheses squared plus fraction numerator 2 X over denominator open parentheses 1 minus X close parentheses cubed end fraction rightwards double arrow S equals fraction numerator 1 minus X plus 2 X over denominator open parentheses 1 minus X close parentheses cubed end fraction rightwards double arrow S equals fraction numerator 1 plus X over denominator open parentheses 1 minus X close parentheses cubed end fraction

Answered by satyajit samal | 18th Sep, 2015, 11:37: AM