In which visual model is (2ab) shown as two equal rectangles?
Answer and explanation
Correct answer: \((a+b)^2\)
In the area model for \((a+b)^2\), the large square is divided into regions of area \(a^2\), \(b^2\), and two equal rectangles of area \(ab\) each. The two rectangles together give \(ab+ab=2ab\). In \((a-b)^2\), the middle term is \(-2ab\), so it is not correct. Exam tip: always check the sign of the middle term in a squared binomial.
Frequently asked questions
What is the correct answer to this question?
\((a+b)^2\)
Why is this the correct answer?
In the area model for \((a+b)^2\), the large square is divided into regions of area \(a^2\), \(b^2\), and two equal rectangles of area \(ab\) each. The two rectangles together give \(ab+ab=2ab\). In \((a-b)^2\), the middle term is \(-2ab\), so it is not correct. Exam tip: always check the sign of the middle term in a squared binomial.
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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