Eve S.

asked • 09/03/16

Why is x^2-y^2 not factorable?

I do not understand why certain polynomials are not factorable.
 
Why can't you factor x^2-y^2?
 
Isn't that just, (x-y)(x+y), etc...?

1 Expert Answer

By:

Eve S.

Ok. Can you explain to me why this question is false?
 
x^2+y^2=(x+y)^2
Report

09/03/16

David W.

Use F-O-I-L on (x+y)2
   x2 + 2xy + y2
 
That is not x2 + y2   (unless either x=0 or y=0, or both, since 2xy must be 0)
Report

09/03/16

Eve S.

Can't you factor x^2+y^2 to be the same?
Report

09/03/16

Mark M.

tutor
Try it with numbers.  For example, let x = 3 and y = 4.                   Then, x2 + y2 = 9 + 16 = 25, but (x+y)2 = 72 = 49
 
So, x2+y2 ≠ (x+y)2
Report

09/03/16

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.