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A visual area model for \((a-b)^2\) is made by removing two strips of width \(b\) from a square of side \(a\). Why is \(b^2\) added in this model?
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Answer and explanation
Correct answer: The common \(b^2\) region of the two strips is subtracted twice
When two strips are removed, their common corner square \(b^2\) is subtracted twice. Add it once back: \(a^2-2ab+b^2=(a-b)^2\). Exam tip: always check overlapping regions in area models.
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What is the correct answer to this question?
The common \(b^2\) region of the two strips is subtracted twice
Why is this the correct answer?
When two strips are removed, their common corner square \(b^2\) is subtracted twice. Add it once back: \(a^2-2ab+b^2=(a-b)^2\). Exam tip: always check overlapping regions in area models.
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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