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Which of the following expressions represents the correct expansion of \((a-b)^3\)?

Answer and explanation

Correct answer: \(a^3-3a^2b+3ab^2-b^3\)

The identity is \((a-b)^3=a^3-3a^2b+3ab^2-b^3\). The middle terms have negative and then positive signs; option C incorrectly makes \(3ab^2\) negative. Exam tip: remember the sign pattern \(+,-,+,-\) for a difference cube.

Related tags

Algebraic IdentitiesCube Of DifferencePolynomial ExpansionClass 9 MathematicsBinomial IdentitiesExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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