[tex] As given (5x²+14x+2)²−(4x²−5x+7)² is divided by x²+x+1 =((5x²+14x−5)−(4x²−5x+7))((5x²+14x+2)+(4x²−5x+7)) =(5x²+14x+2−4x²+5x−7)(5x²+14x+2+4x²−5x+7) =(x²+19x−5)(9x²+9x+9) =(x²+19x−5)9(x²+x+1) Now dividing by x²+x+1frac{x2+x+1}{(x2+19x−5)9(x2+x+1)} (x2+19x−5)9(x2+x+1)x2+x+1 \textless \ br \textgreater \textless \ br \textgreaterQuotient=9(x2+19x−andReminder=0textless \ br / textgreater \ textless \ br / textgreater \ \textless \ br /\ \textgreater \ If you like my answer, please mark it as BRAINLIEST Good Luck and have a nice day[/tex]
If you like my answer, please mark it as ✔️BRAINLIEST! Good Luck and have a nice day!! :)​