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Which of the following expressions does not appear in the expansion of \((x+y+z)^2\)?

Answer and explanation

Correct answer: \(xyz\)

\((x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx\). It contains square terms and products of pairs of variables only; \(xyz\) is a product of three variables, so it is absent. Exam tip: list every pairwise product with coefficient \(2\).

Related tags

Algebraic IdentitiesSquare Of TrinomialPolynomial ExpansionClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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