SOLUTION: Factoring: (ax+3y)^2-(1-6a)(x^2+y^2)+(3x-ay)^2

Algebra ->  Graphs -> SOLUTION: Factoring: (ax+3y)^2-(1-6a)(x^2+y^2)+(3x-ay)^2      Log On


   

Question 1119605: Factoring:
(ax+3y)^2-(1-6a)(x^2+y^2)+(3x-ay)^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28ax%2B3y%29%5E2=a%5E2x%5E2%2B6axy%2B9y%5E2
%283x-ay%29%5E2=9x%5E2-6axy%2Ba%5E2y%5E2
So,
%28ax%2B3y%29%5E2%2B%283x-ay%29%5E2=a%5E2x%5E2%2B6axy%2B9y%5E2%2B9x%5E2-6axy%2Ba%5E2y%5E2
%28ax%2B3y%29%5E2%2B%283x-ay%29%5E2=%28a%5E2%2B9%29x%5E2%2B6axy%2B%289%2Ba%5E2%29y%5E2
%28ax%2B3y%29%5E2%2B%283x-ay%29%5E2+=+%28a%5E2%2B9%29%28x%5E2%2By%5E2%29+
So then,

Substituting,