A) abc
B) 0
C) 1
D) None of these
Correct Answer: B
Solution :
\[(1+ax)\,[(1+{{b}_{1}}x)\,(1+{{c}_{2}}x)-(1+{{b}_{2}}x)\,(1+{{c}_{1}}x)]\]+ \[(1+bx)[(1+{{c}_{1}}x)(1+{{a}_{2}}x)-(1+{{a}_{1}}x)\,(1+{{c}_{2}}x)]\] + \[(1+cx)\,[(1+{{a}_{1}}x)\,(1+{{b}_{2}}x)-(1+{{b}_{1}}x)\,(1+{{a}_{2}}x)]\]= \[{{A}_{0}}+{{A}_{1}}x+{{A}_{2}}{{x}^{2}}+{{A}_{3}}{{x}^{3}}\] After solving, the coefficient of x is 0.
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