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In ( (a+2b+c)^2 ), where does (4b^2) come from?

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Answer and explanation

Correct answer: From \((2b)^2\)

In the expansion of a three-term square, the square of each individual term appears. Here, \((2b)^2=4b^2\), so option B is correct. \(2ac\) is a product term involving \(a\) and \(c\), not the source of \(4b^2\). Exam tip: when squaring a term, square its numerical coefficient as well.

Related tags

Algebraic IdentitiesThree Term SquareCoefficient SquarePolynomial ExpansionClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

From \((2b)^2\)

Why is this the correct answer?

In the expansion of a three-term square, the square of each individual term appears. Here, \((2b)^2=4b^2\), so option B is correct. \(2ac\) is a product term involving \(a\) and \(c\), not the source of \(4b^2\). Exam tip: when squaring a term, square its numerical 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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