Which of the following partitions is correct in a visual model of the identity \((a+b)^2\)?
Answer and explanation
Correct answer: A square of side \(a+b\): one \(a^2\) square, one \(b^2\) square, and two \(ab\) rectangles
Dividing a square of side \(a+b\) into lengths \(a\) and \(b\) gives an \(a^2\) square, a \(b^2\) square, and two \(ab\) rectangles. Its area is \(a^2+ab+ab+b^2\). Option B misses one \(ab\) region. Exam tip: always count both equal rectangles.
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What is the correct answer to this question?
A square of side \(a+b\): one \(a^2\) square, one \(b^2\) square, and two \(ab\) rectangles
Why is this the correct answer?
Dividing a square of side \(a+b\) into lengths \(a\) and \(b\) gives an \(a^2\) square, a \(b^2\) square, and two \(ab\) rectangles. Its area is \(a^2+ab+ab+b^2\). Option B misses one \(ab\) region. Exam tip: always count both equal rectangles.
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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