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Class 9MathematicsExploring Algebraic IdentitiesQuadratic expressionsMedium
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Riya expanded \((2x+1)^2\) as \(4x^2+1\). Which term is missing from her expansion?

Answer and explanation

Correct answer: \(4x\)

Using \((a+b)^2=a^2+2ab+b^2\), put \(a=2x\) and \(b=1\). The middle term is \(2\times2x\times1=4x\). \(2x\) misses the factor 2 in 2ab. Exam tip: calculate the middle term separately.

Related tags

Quadratic ExpressionsAlgebraic IdentitiesBinomial SquareExpansionError AnalysisClass 9 MathematicsExploring Algebraic IdentitiesMathematics
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