Which of the following expressions is a difference of two perfect squares and can therefore be factorised into a product of conjugate binomials?
Answer and explanation
Correct answer: \(4x^2-25\)
Since \(4x^2=(2x)^2\) and \(25=5^2\), it is a difference of squares: \((2x-5)(2x+5)\). Option B is a perfect-square trinomial. Exam tip: check whether both terms are perfect squares first.
Frequently asked questions
What is the correct answer to this question?
\(4x^2-25\)
Why is this the correct answer?
Since \(4x^2=(2x)^2\) and \(25=5^2\), it is a difference of squares: \((2x-5)(2x+5)\). Option B is a perfect-square trinomial. Exam tip: check whether both terms are perfect squares 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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