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Which of the following expressions is an example of the difference of squares identity?
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Answer and explanation
Correct answer: \(49p^2-64q^2\)
Since \(49p^2=(7p)^2\) and \(64q^2=(8q)^2\), option A has the form \(a^2-b^2\), the difference of squares. Option B is a sum of squares, not this identity. Exam tip: check for two perfect squares separated by a minus sign.
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What is the correct answer to this question?
\(49p^2-64q^2\)
Why is this the correct answer?
Since \(49p^2=(7p)^2\) and \(64q^2=(8q)^2\), option A has the form \(a^2-b^2\), the difference of squares. Option B 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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