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Which of the following algebraic identities is used to factorise the expression \(49m^2-25n^2\)?
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Answer and explanation
Correct answer: \(a^2-b^2=(a+b)(a-b)\)
Since \(49m^2=(7m)^2\) and \(25n^2=(5n)^2\), the expression is a difference of two squares. Therefore, use \(a^2-b^2=(a+b)(a-b)\). Exam tip: first check whether both terms are perfect squares.
Frequently asked questions
What is the correct answer to this question?
\(a^2-b^2=(a+b)(a-b)\)
Why is this the correct answer?
Since \(49m^2=(7m)^2\) and \(25n^2=(5n)^2\), the expression is a difference of two squares. Therefore, use \(a^2-b^2=(a+b)(a-b)\). Exam tip: first check whether both terms are perfect squares.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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