What is a common misconception when cubing a binomial like (a + b)?
Expanding Binomials: A Volume Model Proof

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Mathematics
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9th - 10th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
That the result is always a perfect square.
That you can simply add the exponents.
That you can distribute the exponent to each term.
That the terms cancel each other out.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the cube of a binomial represented using a volume model?
As a series of flat squares.
As a single large cube.
As a pyramid with a square base.
As a cube divided into 8 sections.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the volume of the section where the height, length, and width are all 'a'?
ab^2
a^2b
a^3
a^2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many rectangular prisms with volume a^2b are there in the binomial cube expansion?
2
3
1
4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example with X + 5, what is the volume of the section where the height, length, and width are all 5?
25
100
125
50
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the combined volume of the three sections with volume 5X^2 in the X + 5 example?
10X^2
15X^2
25X^2
20X^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final expanded form of (X + 5)^3?
X^3 + 20X^2 + 100X + 125
X^3 + 15X^2 + 75X + 125
X^3 + 25X^2 + 125X + 125
X^3 + 10X^2 + 50X + 125
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