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Which of the following expressions is a difference of two squares and can therefore be factorised into the product of two binomials?
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Answer and explanation
Correct answer: \(x^2-49\)
\(x^2-49=x^2-7^2\), so it fits \(a^2-b^2=(a-b)(a+b)\). \(x^2+49\) is a sum of squares, not this identity. Exam tip: check for two perfect squares separated by a minus sign.
Frequently asked questions
What is the correct answer to this question?
\(x^2-49\)
Why is this the correct answer?
\(x^2-49=x^2-7^2\), so it fits \(a^2-b^2=(a-b)(a+b)\). \(x^2+49\) is a sum of squares, not this identity. Exam tip: check for two perfect squares separated by a minus sign.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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