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Which of the following expressions is a perfect square of a binomial based on the identity \(a^2-2ab+b^2=(a-b)^2\)?
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Answer and explanation
Correct answer: \(16x^2-24xy+9y^2\)
Here \(16x^2=(4x)^2\) and \(9y^2=(3y)^2\). The middle term is \(-24xy=-2(4x)(3y)\), so the expression is \((4x-3y)^2\). In exams, verify the middle term against \(\pm2ab\).
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What is the correct answer to this question?
\(16x^2-24xy+9y^2\)
Why is this the correct answer?
Here \(16x^2=(4x)^2\) and \(9y^2=(3y)^2\). The middle term is \(-24xy=-2(4x)(3y)\), so the expression is \((4x-3y)^2\). In exams, verify the middle term against \(\pm2ab\).
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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