Polynomials, Cubic Equations and Partial Fractions - Factorisation by Special Identities

Polynomials, Cubic Equations and Partial Fractions - Factorisation by Special Identities

TGM Original Questions

Factorise the following expressions completely.

  1. \(125{{p}^{3}}-8{{q}^{3}}\)
  2. \(27{{x}^{3}}+64\)
  3. \(64{{x}^{6}}-27{{x}^{9}}\)

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Answer:(a) \({(5p - 2q)(25p^2 + 10pq + 4q^2)}\) (b) \({(3x + 4)(9x^2 - 12x + 16)}\) (c) \({x^6(4 - 3x)(16 + 12x + 9x^2)}\)

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