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Factorisation using the Sum and Difference of Cubes

Factorisation using the Sum and Difference of Cubes

IP 3

Factorise the following expressions completely

  1. \(125{{x}^{3}}-8{{y}^{3}}\)
  2. \(3{{m}^{3}}+24{{n}^{3}}\)
  3. \(216-{{\left( 1-2x \right)}^{3}}\)

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Answer:(a) \((5x-2y)(25x^2+10xy+4y^2)\) (b) \(3(m+2n)(m^2-2mn+4n^2)\) (c) \((2x+5)(4x^2-16x+43)\)

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