SOLUTION: how does (n-3)^2 = n^2-6n+9 ????? please help

Algebra ->  College  -> Linear Algebra -> SOLUTION: how does (n-3)^2 = n^2-6n+9 ????? please help      Log On


   



Question 307140: how does (n-3)^2 = n^2-6n+9 ????? please help
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
%28N-3%29%5E2+=+%28N-3%29%2A%28N-3%29
Use FOIL to multiply the terms through.
(FOIL = first, outer, inner last)
%28N-3%29%2A%28N-3%29+=+%28N%2AN%29+%2B+%28-3%2AN%29+%2B++%28-3%2AN%29+%2B+%28-3%2A-3%29
Simplify
N%5E2+-+3N+-+3N+%2B+9
Combine like terms
N%5E2+-+6N+%2B+9