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Which of the following expressions produces the quadratic factor \(p^2-pq+q^2\) when factorised?
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Answer and explanation
Correct answer: \(p^3+q^3\)
Use the identity \(p^3+q^3=(p+q)(p^2-pq+q^2)\), so A is correct. For \(p^3-q^3\), the quadratic factor has \(+pq\), not \(-pq\). Exam tip: check the middle sign first.
Frequently asked questions
What is the correct answer to this question?
\(p^3+q^3\)
Why is this the correct answer?
Use the identity \(p^3+q^3=(p+q)(p^2-pq+q^2)\), so A is correct. For \(p^3-q^3\), the quadratic factor has \(+pq\), not \(-pq\). Exam tip: check the middle sign 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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