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.
- \(64{{a}^{3}}-27{{b}^{3}}\)
- \(8{{x}^{3}}+27\)
- \(125{{x}^{6}}-64{{x}^{9}}\)
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Answer:(a) \({(4a - 3b)(16a^2 + 12ab + 9b^2)}\) (b) \({(2x + 3)(4x^2 - 6x + 9)}\) (c) \({x^6(5 - 4x)(25 + 20x + 16x^2)}\)
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