Podcast
Questions and Answers
Which of the following is a characteristic of the difference of two squares pattern?
Which of the following is a characteristic of the difference of two squares pattern?
- Both terms are multiplied
- Both terms are cubed
- Both terms are divided
- Both terms are squared (correct)
What is the formula for factoring the difference of two squares?
What is the formula for factoring the difference of two squares?
- $(a-b)^2 = a^2 + b^2$
- $(a-b)^2 = a^2 - b^2$ (correct)
- $(a+b)^2 = a^2 + b^2$
- $(a+b)^2 = a^2 - b^2$
If you have a binomial with squared terms and subtraction as the middle sign, what pattern do you have?
If you have a binomial with squared terms and subtraction as the middle sign, what pattern do you have?
- Difference of two cubes
- Sum of two squares
- Sum of two cubes
- Difference of two squares (correct)
How can you factor a difference of two squares expression?
How can you factor a difference of two squares expression?
Which of the following is NOT a way to write the formula for the difference of two squares using variables?
Which of the following is NOT a way to write the formula for the difference of two squares using variables?
Which of the following is a characteristic of the difference of two squares pattern?
Which of the following is a characteristic of the difference of two squares pattern?
What is the formula for factoring the difference of two squares?
What is the formula for factoring the difference of two squares?
If you have a binomial with squared terms and subtraction as the middle sign, what pattern do you have?
If you have a binomial with squared terms and subtraction as the middle sign, what pattern do you have?
What is the formula for the difference of two squares using variables?
What is the formula for the difference of two squares using variables?
What is the characteristic of a binomial in the difference of two squares pattern?
What is the characteristic of a binomial in the difference of two squares pattern?
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Study Notes
Difference of Two Squares
- Characteristic includes having a binomial with two squared terms and subtraction as the middle operator.
- The standard formula for factoring is ( a^2 - b^2 = (a - b)(a + b) ).
- A binomial with squared terms separated by a subtraction signifies the difference of two squares pattern.
- To factor a difference of two squares expression, identify the squares, apply the formula ( a^2 - b^2 ), and express it as ( (a - b)(a + b) ).
- Common misconceptions in variable notation can occur; for example, writing anything other than ( a^2 - b^2 ) to represent the formula is incorrect.
- Characteristics include the recognition of the form ( x^2 - y^2 ), where both terms are perfect squares.
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