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Simplifying Algebraic Fractions

This is used to change a complex algebraic expression into a simple form.

Question

For the following algebraic expressions, try to simplify them.

  1. (2b+2c)/8
  2. (4-4x)/(x-1)
  3. (x2-2x+1)/(x-1)

 

 

Answer

  1. (b+c)/4
  2. -4
  3. x-1

Useful Notes:

  • Factorization can help to find the common factor between the numerator and denominator of an algebraic fraction
  • Sometimes an algebraic fractions may need to be factorized in order to simplify it.

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