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Which of the following expressions can be factorised using the identity \((a-b)^2\)?
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Answer and explanation
Correct answer: \(9x^2-24xy+16y^2\)
Here, \(9x^2=(3x)^2\), \(16y^2=(4y)^2\), and \(-24xy=-2(3x)(4y)\). Thus A is \((3x-4y)^2\). In B, the last term is negative. Exam tip: always verify the middle term.
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What is the correct answer to this question?
\(9x^2-24xy+16y^2\)
Why is this the correct answer?
Here, \(9x^2=(3x)^2\), \(16y^2=(4y)^2\), and \(-24xy=-2(3x)(4y)\). Thus A is \((3x-4y)^2\). In B, the last term is negative. Exam tip: always verify the middle term.
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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