Which of the following expressions can be factorised using the identity \(p^2-q^2=(p+q)(p-q)\)?
Answer and explanation
Correct answer: \(x^2-49\)
\(x^2-49=x^2-7^2\), so it is a difference of two squares and becomes \((x+7)(x-7)\). \(x^2+49\) is a sum of squares. In exams, first check whether the constant is a perfect square.
Frequently asked questions
What is the correct answer to this question?
\(x^2-49\)
Why is this the correct answer?
\(x^2-49=x^2-7^2\), so it is a difference of two squares and becomes \((x+7)(x-7)\). \(x^2+49\) is a sum of squares. In exams, first 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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