Answer :


Let


Now putting,


A(x2+1)+(Bx+C)(x+2) = x2+x+1


Ax2+A+Bx2+Cx+2Bx+2C = x2+x+1


(A+B)x2+(C+2B)x+(A+2C) = x2+x+1


Equating coefficients A+B=1…….(i)


A+2C=1


A=1-2C……(ii)


2B+C=1


2B=1-C




2-4C+1-C=2


3-5C=2


-5C=-1



And












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