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Which algebraic identity is appropriate for factorising the expression \(49p^2-64q^2\)?
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Answer and explanation
Correct answer: \(a^2-b^2=(a-b)(a+b)\)
This is a difference of two perfect squares: \(49p^2=(7p)^2\) and \(64q^2=(8q)^2\). Hence the identity \(a^2-b^2\) applies. 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?
This is a difference of two perfect squares: \(49p^2=(7p)^2\) and \(64q^2=(8q)^2\). Hence the identity \(a^2-b^2\) applies. 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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