What will be the first term in ( (2a+5)^2 )?
Answer and explanation
Correct answer: \(4a^2\)
In the identity \((x+y)^2=x^2+2xy+y^2\), the first term is \(x^2\). Here, \(x=2a\), so the first term is \((2a)^2=4a^2\). \(10a\) is not the first term; the middle term is \(2\times 2a\times 5=20a\). Exam tip: while squaring a term, square its coefficient as well.
Frequently asked questions
What is the correct answer to this question?
\(4a^2\)
Why is this the correct answer?
In the identity \((x+y)^2=x^2+2xy+y^2\), the first term is \(x^2\). Here, \(x=2a\), so the first term is \((2a)^2=4a^2\). \(10a\) is not the first term; the middle term is \(2\times 2a\times 5=20a\). Exam tip: while squaring a term, square its coefficient as well.
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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