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In a visual model of \(x^2-y^2\), a smaller square of area \(y^2\) is removed from a larger square of area \(x^2\), and the remaining parts are rearranged. What are the sides of the rectangle formed?
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Answer and explanation
Correct answer: \((x+y), (x-y)\)
After rearrangement, the rectangle has length \(x+y\) and breadth \(x-y\). Its area is \((x+y)(x-y)=x^2-y^2\). Exam tip: match the area left after removing the small square with the product of the rectangle’s sides.
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What is the correct answer to this question?
\((x+y), (x-y)\)
Why is this the correct answer?
After rearrangement, the rectangle has length \(x+y\) and breadth \(x-y\). Its area is \((x+y)(x-y)=x^2-y^2\). Exam tip: match the area left after removing the small square with the product of the rectangle’s sides.
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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