Combining fractions with related denominators

Combining fractions with related denominators

Secondary 2
TGM Original Questions

Express each of the following as a single fraction in its simplest form.

  1. \(\frac4{3y-12}-\frac2{2y-8}\)
  2. \(\frac{t-2}{t^2-4}-\frac4{2-t}\)
  3. \(\frac5{(2p-1)(p+3)}-\frac2{(p+3)(4p-2)}\)
  4. \(\frac{3x}{x^2-2x-8}-\frac5{4-x}\)
  5. \(\frac6{(3x+2)(x-3)}-\frac4{3-x}\)
  6. \(\frac2{2x^2-7x-4}-\frac3{4-x}\)

Solution:

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Answer:(a) \(\frac1{3(y-4)}\); (b) \(\frac{5t+6}{t^2-4}\); (c) \(\frac4{(2p-1)(p+3)}\); (d) \(\frac{2(4x+5)}{(x-4)(x+2)}\); (e) \(\frac{2(6x+7)}{(3x+2)(x-3)}\); (f) \(\frac{6x+5}{(2x+1)(x-4)}\).

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