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What is the constant term in \( (x-9)^2 \)?

Answer and explanation

Correct answer: 81

Using the identity \((a-b)^2=a^2-2ab+b^2\), we get \((x-9)^2=x^2-18x+81\). A constant term has no variable, so the constant term is 81. The term \(-18x\) contains x and is therefore not constant. Exam tip: in the square of a binomial, the final constant term is the square of the constant part.

Related tags

Algebraic IdentitiesConstant TermBinomial SquareGrade 9 MathematicsPolynomial ExpansionExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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