Which of the following expressions can be factorised by identifying it as a difference of two squares?
Answer and explanation
Correct answer: \(p^2-25\)
\(p^2-25=p^2-5^2\), so it is a difference of squares and factorises as \((p+5)(p-5)\). \(p^2+25\) is a sum of squares. In exams, check whether the constant is a perfect square.
Frequently asked questions
What is the correct answer to this question?
\(p^2-25\)
Why is this the correct answer?
\(p^2-25=p^2-5^2\), so it is a difference of squares and factorises as \((p+5)(p-5)\). \(p^2+25\) is a sum of squares. In exams, check whether the constant is a perfect square.
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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