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How many main parts are formed in the square model of side (a+b)?

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Answer and explanation

Correct answer: Four

When a square of side \((a+b)\) is divided into lengths a and b, it forms four regions: \(a^2\), \(ab\), \(ab\), and \(b^2\). Therefore, the correct answer is four. \(2ab\) is the combined area of the two separate \(ab\) regions, not one individual part. Exam tip: count each rectangle or square region separately in the diagram.

Related tags

Algebraic IdentitiesVisual ModelsArea PartitionSquare ModelBinomial Square

Frequently asked questions

What is the correct answer to this question?

Four

Why is this the correct answer?

When a square of side \((a+b)\) is divided into lengths a and b, it forms four regions: \(a^2\), \(ab\), \(ab\), and \(b^2\). Therefore, the correct answer is four. \(2ab\) is the combined area of the two separate \(ab\) regions, not one individual part. Exam tip: count each rectangle or square region separately in the diagram.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.

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