SOLUTION: I am having trouble factoring the following quadratic equation. I have tried grouping and pulling out a common term but I just can't get it. Any help would be appreciated. {{{x^

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: I am having trouble factoring the following quadratic equation. I have tried grouping and pulling out a common term but I just can't get it. Any help would be appreciated. {{{x^      Log On


   

Question 773652: I am having trouble factoring the following quadratic equation. I have tried grouping and pulling out a common term but I just can't get it. Any help would be appreciated.
x%5E2-8xy%2B16y%5E2-25
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+-+8%2Ax%2Ay+%2B+16%2Ay%5E2+-+25
You can see that the 1st 3 terms are in the form of a^2 - 2ab + b^2, which is
(a - b)^2
So it can be first written as
%28x+-+4%2Ay%29%5E2+-+25
Now this is of the form a^2 - b^2, which is (a+b)*(a-b)
%28x+-+4%2Ay%29%5E2+-+25 =
%28x+-+4%2Ay%29%5E2+-+5%5E2 =
%28x+-+4%2Ay+%2B5%29%2A%28x+-+4%2Ay+-+5%29 which is the final factorization.
Hope you got it :)