Simplifying by common factors

Simplifying by common factors

Secondary 2
TGM Original Questions

Simplify each of the following expressions.

  1. \(\frac{8m}{3n^2}\div\frac{20m^2}{9p^2n^3}\)
  2. \(\frac{12a^2c}{7}\times\frac{21}{18ac^2}\)
  3. \(\frac{4x+8y}{10yz+5xz}\)
  4. \(\frac{pq-pr+r-q}{q-r}\)
  5. \(\frac{au-4bu-av+4bv}{3xu+yu-3xv-yv}\)
  6. \(\frac{3x^2+11x+6}{x^2+5x+6}\)

Solution:

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Answer:(a) \(\frac{6p^2n}{5m}\); (b) \(\frac{2a}{c}\); (c) \(\frac4{5z}\); (d) \(p-1\); (e) \(\frac{a-4b}{3x+y}\); (f) \(\frac{3x+2}{x+2}\).

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