Which area model shows (x^2-9)?
Answer and explanation
Correct answer: Removing a square of side 3 from a square of side x
Here, x² - 9 = x² - 3². The term x² represents the area of a large square of side x, and 3² represents the area of a smaller square of side 3. Thus, removing the smaller square from the larger one leaves an area of x² - 9. A square of side x-3 has area (x-3)², which is not equal to x² - 9. Exam tip: In an area model, the area of a square is the square of its side length.
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What is the correct answer to this question?
Removing a square of side 3 from a square of side x
Why is this the correct answer?
Here, x² - 9 = x² - 3². The term x² represents the area of a large square of side x, and 3² represents the area of a smaller square of side 3. Thus, removing the smaller square from the larger one leaves an area of x² - 9. A square of side x-3 has area (x-3)², which is not equal to x² - 9. Exam tip: In an area model, the area of a square is the square of its side length.
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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