Factorised multiplication and division

Factorised multiplication and division

Secondary 2
TGM Original Questions

Simplify each of the following expressions.

  1. \(\frac{(4a-3b)^2}{12b^2-16ab}\)
  2. \(\frac{(ru^2-su^2)(8r+16s)}{4u(r^2+rs-2s^2)}\)
  3. \(\frac{4p+28q}{12pq}\div\frac{2p+14q}{8p^2}\)
  4. \(\frac{p(3p+2)-1}{(3p-1)^2}\)
  5. \(\frac{a^2-4}{2a^2+3a-2}\)
  6. \(\frac{8k^2+2k-3}{16k^2-9}\div\frac{2k^2-k}{4k}\)

Solution:

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Answer:(a) \(-\frac{4a-3b}{4b}\); (b) \(2u\); (c) \(\frac{4p}{3q}\); (d) \(\frac{p+1}{3p-1}\); (e) \(\frac{a-2}{2a-1}\); (f) \(\frac4{4k-3}\).

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