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What is the constant term in ( (5x+2)^2 )?
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Answer and explanation
Correct answer: \(4\)
Using \((a+b)^2=a^2+2ab+b^2\), we get \((5x+2)^2=25x^2+20x+4\). A term with no \(x\) is called the constant term, so the constant term is \(4\). \(20x\) is the middle term and is not constant. Exam tip: after expanding, identify the term without the variable.
Frequently asked questions
What is the correct answer to this question?
\(4\)
Why is this the correct answer?
Using \((a+b)^2=a^2+2ab+b^2\), we get \((5x+2)^2=25x^2+20x+4\). A term with no \(x\) is called the constant term, so the constant term is \(4\). \(20x\) is the middle term and is not constant. Exam tip: after expanding, identify the term without the variable.
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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