Factorisation Through Grouping and Special Identities

Factorisation Through Grouping and Special Identities

Secondary 2

Factorise each of the following algebraic expressions:

  1. \(6a{{p}^{2}}-9{{a}^{2}}{{p}^{3}}r\)
  2. \(11y\left( m+3n \right)-4\left( 3n+m \right)\)
  3. \(5d\left( b-2a \right)+4c\left( 2a-b \right)\)
  4. \(12pq-4qr-3ps+rs\)
  5. \(126{{a}^{2}}k{{n}^{2}}+54ah{{n}^{2}}-24ah-56{{a}^{2}}k\)

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Answer:(a) \(3ap^2(2-3apr)\) (b) \((m+3n)(11y-4)\) (c) \((b-2a)(5d-4c)\) (d) \((3p-r)(4q-s)\) (e) \(2a(7ak+3h)(3n+2)(3n-2)\)

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