SOLUTION: on my algebra worksheet, we were instructed to factor, I need help with this problem: t^2-6t+9-25s^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: on my algebra worksheet, we were instructed to factor, I need help with this problem: t^2-6t+9-25s^2      Log On


   

Question 25874: on my algebra worksheet, we were instructed to factor, I need help with this problem:
t^2-6t+9-25s^2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The 1st three terms factor as (t-3)^2
So, rewrite the problem as follows:
(t-3)^2 - 25
You now have the "difference of two squares" which factors as follows:
[(t-3)-5][(t-3)+5]
You may rewrite that as:
(t-8)(t+2)
Cheers,
Stan H.