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Which of the following trinomials represents the expansion of \((x+5y)^2\)?
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Answer and explanation
Correct answer: \(x^2+10xy+25y^2\)
Using \((a+b)^2=a^2+2ab+b^2\), take \(a=x\) and \(b=5y\). The middle term is \(2\times x\times5y=10xy\), and the last term is \(25y^2\). Option C represents \((x-5y)^2\). Exam tip: always check the sign of the middle term.
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What is the correct answer to this question?
\(x^2+10xy+25y^2\)
Why is this the correct answer?
Using \((a+b)^2=a^2+2ab+b^2\), take \(a=x\) and \(b=5y\). The middle term is \(2\times x\times5y=10xy\), and the last term is \(25y^2\). Option C represents \((x-5y)^2\). Exam tip: always check the sign of the middle term.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Algebraic identities.
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