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Which of the following expressions can be factorised directly using the difference of squares identity \(A^2-B^2=(A-B)(A+B)\)?
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Answer and explanation
Correct answer: \(p^4-81q^4\)
Since \(p^4=(p^2)^2\) and \(81q^4=(9q^2)^2\), option A is a difference of two squares. It factorises as \((p^2-9q^2)(p^2+9q^2)\). Exam tip: first rewrite each term as a perfect square.
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What is the correct answer to this question?
\(p^4-81q^4\)
Why is this the correct answer?
Since \(p^4=(p^2)^2\) and \(81q^4=(9q^2)^2\), option A is a difference of two squares. It factorises as \((p^2-9q^2)(p^2+9q^2)\). Exam tip: first rewrite each term as a perfect square.
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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