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Which statement about the signs of terms in the expansion of \((a-b)^3\) is correct?

Answer and explanation

Correct answer: Terms with odd powers of \(b\) have negative coefficients.

In \((a-b)^3=a^3-3a^2b+3ab^2-b^3\), the terms \(-3a^2b\) and \(-b^3\) contain odd powers of \(b\), so their coefficients are negative. The \(b^2\) term is positive. Exam tip: track signs by parity.

Related tags

Algebraic IdentitiesBinomial CubeSign PatternPolynomial ExpansionClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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