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

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

Secondary 3

Factorise \(48{{x}^{3}}+162{{y}^{3}}\) completely. Hence, simplify \(\frac{48{{x}^{3}}+162{{y}^{3}}}{-12{{x}^{2}}+18xy-27{{y}^{2}}}\).

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Answer:6(2x+3y)(4x^2-6xy+9y^2); simplified expression=-2(2x+3y).

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