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Which of the following polynomials is an example of the difference of squares identity, whose factors differ only in sign?

Answer and explanation

Correct answer: \(x^2-49\)

\(x^2-49=x^2-7^2\), so it factors as \((x+7)(x-7)\). The factors differ only by sign. \(x^2+49\) is a sum of squares. Exam tip: first check whether both terms are perfect squares.

Related tags

Algebraic IdentitiesDifference Of SquaresPolynomialsFactorisationClass 9 MathematicsExploring Algebraic IdentitiesMathematicsClass 9 Mcq

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