Evaluating homogeneous rational expressions

Evaluating homogeneous rational expressions

Secondary 2
TGM Original Questions
  1. If \(a:b=2:7\), evaluate \(\frac{a^2+3ab-2b^2}{2a^2-ab+b^2}\).
  2. If \(\frac{x-y}{y}=\frac23\), evaluate \(\frac{4x^2+3xy+y^2}{2x^2+5xy+3y^2}\).

Solution:

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Answer:(a) \(-\frac{52}{43}\); (b) \(\frac{77}{76}\).

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