SOLUTION: Please help me solve this. Thank You In Advance (a-b+c-d)(a+b-c-d)

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Question 1177995: Please help me solve this. Thank You In Advance
(a-b+c-d)(a+b-c-d)
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%28a-b%2Bc-d%29%28a%2Bb-c-d%29 multiply each term of the first polynomial by each term of the second polynomial

a%5E2%2Bab-ac-ad++-ab%2Bb%5E2%2Bbc%2Bbd%2Bac%2Bbc%2Bc%5E2-cd+-ad-bd%2Bcd%2Bd%5E2++

a%5E2+-+2ad+-+b%5E2+%2B+2bc+-+c%5E2+%2B+d%5E2++

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Again if you look at the given expression carefully, there is a path to the answer with much less work than shown by the other tutor.

By rearranging the terms...

%28a-b%2Bc-d%29%28a%2Bb-c-d%29+=+%28%28a-d%29-%28b-c%29%29%28%28a-d%29%2B%28b-c%29%29

This is in the form (A-B)(A+B) = A^2-B^2. So