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Answer :

The simplified form of the given expression is; (a+1) (1/(a-6) - (a-6)/(a+6)(a+3).

Simplification of polynomial expressions

The polynomial expression given is;

  • a²-2a-3/a²-9a+18 - a²-5a-6/a²+9a+8.

Hence, it follows from factorisation that;

  • (a-3)(a+1)/(a-6)(a-3) - (a-6)(a+1)/(a+6)(a+3)

Hence, it follows from simplification that;

  • (a+1)/(a-6) - (a-6)(a+1)/(a+6)(a+3)

  • (a+1) (1/(a-6) - (a-6)/(a+6)(a+3).

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