Question

Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?

Answer 1

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Step-by-step explanation:

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Here you go, your equation should look a lot like this:

x²-16 -----> (x+4)(x-4).