Advanced fraction and index simplification

Advanced fraction and index simplification

Secondary 2
TGM Original Questions
  1. Express \(\frac{x-3}{x^2-6x+9}-\frac1{x+3}+\frac4{9-x^2}\) as a single fraction in lowest terms.
  2. Simplify \(\frac{18a^5b^7(x^4+y^4)}{12a^{-2}b^3(x^8-y^8)}\).

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Answer:(a) \(\frac2{x^2-9}\); (b) \(\frac{3a^7b^4}{2(x^4-y^4)}\).

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