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Which of the following expressions cannot be factorised using the identity for the difference of two squares?
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Answer and explanation
Correct answer: \(4m^2+25n^2\)
\(4m^2+25n^2=(2m)^2+(5n)^2\) is a sum of squares, not a difference. The identity is \(a^2-b^2=(a-b)(a+b)\). In exams, check the sign between the two square terms first.
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What is the correct answer to this question?
\(4m^2+25n^2\)
Why is this the correct answer?
\(4m^2+25n^2=(2m)^2+(5n)^2\) is a sum of squares, not a difference. The identity is \(a^2-b^2=(a-b)(a+b)\). In exams, check the sign between the two square terms first.
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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