In a square model, the outer side is (x+8). What will be the last term in the expansion of the area?
Answer and explanation
Correct answer: \(64\)
The area of the square is \((x+8)^2\). Expanding it gives \(x^2+16x+64\), so the last term is \(8^2=64\). The term \(16x\) is the middle term because it comes from \(2\times x\times 8\). Exam tip: in \((a+b)^2\), the last term is always the square of the constant term \(b\).
Frequently asked questions
What is the correct answer to this question?
\(64\)
Why is this the correct answer?
The area of the square is \((x+8)^2\). Expanding it gives \(x^2+16x+64\), so the last term is \(8^2=64\). The term \(16x\) is the middle term because it comes from \(2\times x\times 8\). Exam tip: in \((a+b)^2\), the last term is always the square of the constant term \(b\).
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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