Difference of Squares
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Difference of Squares?
Back
The Difference of Squares is a mathematical identity that states: a² - b² = (a + b)(a - b). It applies when you have a square term subtracted from another square term.
2.
FLASHCARD QUESTION
Front
Can 9n² + 1 be factored using the Difference of Squares?
Back
No, 9n² + 1 cannot be factored using the Difference of Squares because it is a sum of squares.
3.
FLASHCARD QUESTION
Front
Can x² + 81 be factored using the Difference of Squares?
Back
No, x² + 81 cannot be factored using the Difference of Squares because it is a sum of squares.
4.
FLASHCARD QUESTION
Front
What is the factored form of r² - 9t²?
Back
The factored form of r² - 9t² is (r + 3t)(r - 3t).
5.
FLASHCARD QUESTION
Front
What is the factored form of q² - 121?
Back
The factored form of q² - 121 is (q + 11)(q - 11).
6.
FLASHCARD QUESTION
Front
Can 4m² + 49 be factored using the Difference of Squares?
Back
No, 4m² + 49 cannot be factored using the Difference of Squares because it is a sum of squares.
7.
FLASHCARD QUESTION
Front
What is an example of a Difference of Squares?
Back
An example of a Difference of Squares is 16 - x², which factors to (4 + x)(4 - x).
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