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Which expression can be factorised using the identity for the difference of two squares?
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Answer and explanation
Correct answer: \(9x^2-16y^2\)
\(9x^2-16y^2=(3x)^2-(4y)^2\), so it fits \(a^2-b^2=(a-b)(a+b)\): \((3x-4y)(3x+4y)\). Option B has a sum, not a difference. Exam tip: check for two perfect squares separated by a minus sign.
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What is the correct answer to this question?
\(9x^2-16y^2\)
Why is this the correct answer?
\(9x^2-16y^2=(3x)^2-(4y)^2\), so it fits \(a^2-b^2=(a-b)(a+b)\): \((3x-4y)(3x+4y)\). Option B has a sum, not a difference. Exam tip: check for two perfect squares separated by a minus sign.
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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