SOLUTION: final simplified result (m - n) (m + n) – (m - n)2

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Question 103546: final simplified result
(m - n) (m + n) – (m - n)2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28m+-+n%29%2A%28m+%2B+n%29-%28m+-+n%292
For the first multplication, use the FOIL (First, Outer, Inner, Last) method:
%28m-n%29%28m%2Bn%29+=+m%2Am+%2B+m%2An+%2B+%28-n%29%2Am+%2B+%28-n%29%2A%28n%29
%28m-n%29%28m%2Bn%29+=+m%5E2+%2B+cross%28m%2An%29+-+cross%28m%2An%29+-+n%5E2
%28m-n%29%28m%2Bn%29+=+m%5E2+-+n%5E2
Substitute into your original expression,
%28m+-+n%29%2A%28m+%2B+n%29-%28m+-+n%292=m%5E2-n%5E2-%28m-n%292
%28m+-+n%29%2A%28m+%2B+n%29-%28m+-+n%292=m%5E2-n%5E2-2m%2B2nDistributive Property.
%28m+-+n%29%2A%28m+%2B+n%29-%28m+-+n%292=m%5E2-2m-%28n%5E2-2n%29Group like terms.
%28m+-+n%29%2A%28m+%2B+n%29-%28m+-+n%292=m%28m-2%29-n%28n-2%29Distributive Property.