What is the result of expanding the expression (X-1)(X+1)?
Proofs Involving Multiplying Out Brackets and Whole Numbers

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Mathematics
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10th - 12th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
X^3 + X
X^2 - 1
X^2 + 1
X^3 - X
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of the video, what is the significance of the expression X^3 - X?
It represents a quadratic equation.
It is used to prove a property of multiples of 6.
It is an example of a polynomial division.
It is unrelated to the topic discussed.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to identify multiples of 2 and 3 in the proof?
Because they are the only even numbers.
Because their product is 6, which is the focus of the proof.
Because they simplify the expression.
Because they are prime numbers.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result when you multiply two consecutive integers, one of which is a multiple of 2 and the other a multiple of 3?
A multiple of 5
A multiple of 6
A multiple of 9
A multiple of 12
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following sets of numbers demonstrates the proof that the difference between a whole number and its cube is a multiple of 6?
4, 5, 6
3, 4, 5
2, 3, 4
1, 2, 3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key takeaway from the proof discussed in the video?
The difference between a number and its square is always a multiple of 6.
The difference between a number and its cube is always a multiple of 6.
The sum of a number and its cube is always a multiple of 6.
The product of a number and its cube is always a multiple of 6.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of consecutive integers in the proof?
They are used to find the average of the numbers.
They simplify the calculation of the cube.
They ensure that at least one number is a multiple of 2 and another is a multiple of 3.
They help identify a pattern in the sequence.
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