
Understanding (a + b)² and (a - b)²

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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18 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expanded form of (a + b)²?
a² + b²
a² + 2ab + b²
a² - 2ab + b²
a² + ab + b²
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in proving the identity (a + b)²?
Construct a triangle with side a
Construct a rectangle with side b
Construct a square with side a
Construct a square with side (a + b)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many distinct parts is the square divided into to prove (a + b)²?
Five
Four
Three
Two
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area of the square with side a?
a²
b²
ab
2ab
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the area of the rectangle with sides a and b?
a²
2ab
ab
b²
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of dividing the square into parts in the (a + b)² proof?
To find the perimeter
To find the diagonal
To find the volume
To find the area
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the areas of the parts and the whole square in the (a + b)² proof?
The parts are larger
The parts are smaller
The parts sum up to the whole
The parts are equal to the whole
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