What is the constant part in the area model of ((a+1)(a+6))?
Answer and explanation
Correct answer: 6
In the area model, the side lengths are \(a+1\) and \(a+6\). The constant part comes from multiplying the two constants: \(1\times 6=6\). Therefore, the correct answer is \(6\). The value \(7\) is \(1+6\), which relates to the coefficient of the middle term, not the constant term. Exam tip: identify the small rectangle formed by number × number.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
In the area model, the side lengths are \(a+1\) and \(a+6\). The constant part comes from multiplying the two constants: \(1\times 6=6\). Therefore, the correct answer is \(6\). The value \(7\) is \(1+6\), which relates to the coefficient of the middle term, not the constant term. Exam tip: identify the small rectangle formed by number × number.
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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