In the visual model of a square with side a+b , which partition correctly represents a^2+2ab+b^2 ?
Answer and explanation
Correct answer: One a^2 square, one b^2 square, and two ab rectangles
Dividing each side of the large square into lengths
a
and
b
forms one
a^2
square, one
b^2
square, and two
ab
rectangles. Their areas add to
a^2+2ab+b^2
. Exam tip: count both
ab
rectangles.
Frequently asked questions
What is the correct answer to this question?
One
a^2
square, one
b^2
square, and two
ab
rectangles
Why is this the correct answer?
Dividing each side of the large square into lengths
a
and
b
forms one
a^2
square, one
b^2
square, and two
ab
rectangles. Their areas add to
a^2+2ab+b^2
. Exam tip: count both
ab
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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