SOLUTION: Says to factor the difference of two squares. Assume that variables represent whole numbers. (y-9)^2-1

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Question 661795: Says to factor the difference of two squares. Assume that variables represent whole numbers.
(y-9)^2-1

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

Problem: 
Factor this expression using the difference of two squares. Assume that variables represent whole numbers.

%28y-9%29%5E2-1

Answer:
The difference of two square factoring method is useful when you have one expression 
subtracted from another AND you can write both expressions in the form of something-
squared.

In this case, you subtract 1 from (y-9}^2. Both of these can be written as something-squared:
 1 = 1^2 and (y-9)^2 is already in that form. 

Difference of two squares factors like this:
a%5E2-b%5E2+=+%28a%2Bb%29%2A%28a-b%29

In your problem:
%28y-9%29%5E2-1=%28%28y-9%29%2B1%29%2A%28%28y-9%29-1%29

We can simplify this:
%28y-9%29%5E2-1=%28y-8%29%2A%28y-10%29

~Mrs. F.