What is the difference of two squares formula?
Difference of Two Squares

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The difference of two squares formula states that a^2 - b^2 = (a + b)(a - b).
2.
FLASHCARD QUESTION
Front
Can you provide an example of the difference of two squares?
Back
An example is 64x^2 - 81y^2, which factors to (8x + 9y)(8x - 9y).
3.
FLASHCARD QUESTION
Front
What types of expressions can be factored using the difference of two squares?
Back
Expressions that can be factored using the difference of two squares must be in the form a^2 - b^2, where both a and b are perfect squares.
4.
FLASHCARD QUESTION
Front
Is 16x^3 - 25y^2 factorable using the difference of two squares? Why or why not?
Back
No, because 16x^3 is not a perfect square; it must be in the form of a^2.
5.
FLASHCARD QUESTION
Front
What is the result of factoring 4x^2 - 25?
Back
The result is (2x + 5)(2x - 5).
6.
FLASHCARD QUESTION
Front
What is the sum of squares, and can it be factored?
Back
The sum of squares, such as 49x^2 + 16, cannot be factored over the real numbers.
7.
FLASHCARD QUESTION
Front
What is a perfect square?
Back
A perfect square is an expression that can be written as the square of a binomial, such as (a + b)^2 = a^2 + 2ab + b^2.
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