Algebraic Expressions, Identities and Formulae - Factorisation by Taking Common Factors

Algebraic Expressions, Identities and Formulae - Factorisation by Taking Common Factors

  1. By expanding the following expression \((x-y)(3x+7)\), show that it can be written as \(3x(x-y)+7(x-y)\).
  2. Hence factorise \(3x(x-y)+7(x-y)\).

Solution:

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Answer:(a) \((x-y)(3x+7)=3x^2+7x-3xy-7y=3x(x-y)+7(x-y)\). (b) \((x-y)(3x+7)\).

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