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Which of the following trinomials can be expressed as the square of a binomial?

Answer and explanation

Correct answer: \(a^2+10a+25\)

\(a^2+10a+25=(a+5)^2\) because the middle term is \(2\times a\times5=10a\). In option B, the constant 20 is not \(5^2=25\). Exam tip: use the square roots of the first and last terms to check the middle term.

Related tags

Algebraic IdentitiesQuadratic ExpressionsPerfect Square TrinomialBinomial SquareClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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