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Which of the following trinomials can be written as the square of the difference of two binomials?
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Answer and explanation
Correct answer: \(9a^2-24ab+16b^2\)
\((3a-4b)^2=9a^2-2(3a)(4b)+16b^2=9a^2-24ab+16b^2\), so A is a perfect-square trinomial. In B, the last term should be \(16b^2\). Exam tip: verify the middle term as \(-2xy\).
Frequently asked questions
What is the correct answer to this question?
\(9a^2-24ab+16b^2\)
Why is this the correct answer?
\((3a-4b)^2=9a^2-2(3a)(4b)+16b^2=9a^2-24ab+16b^2\), so A is a perfect-square trinomial. In B, the last term should be \(16b^2\). Exam tip: verify the middle term as \(-2xy\).
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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