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Which of the following expressions is the square of the binomial \(3p-4q\)?
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Answer and explanation
Correct answer: \(9p^2-24pq+16q^2\)
Use \((a-b)^2=a^2-2ab+b^2\). With \(a=3p\) and \(b=4q\), the middle term is \(-2\times3p\times4q=-24pq\), and the last term is \(16q^2\). Hence A is correct. Exam tip: always check the middle-term sign.
Frequently asked questions
What is the correct answer to this question?
\(9p^2-24pq+16q^2\)
Why is this the correct answer?
Use \((a-b)^2=a^2-2ab+b^2\). With \(a=3p\) and \(b=4q\), the middle term is \(-2\times3p\times4q=-24pq\), and the last term is \(16q^2\). Hence A is correct. Exam tip: always check the middle-term 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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