SOLUTION: Factorise : a^2-b^2-4ac+4c^2

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Question 1116627: Factorise : a^2-b^2-4ac+4c^2
Found 2 solutions by math_helper, Alan3354:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Factor +a%5E2-b%5E2-4ac%2B4c%5E2+
—————————————————————
= +%28a%5E2-4ac%2B4c%5E2%29+-+b%5E2+
= +%28a-2c%29%5E2+-+b%5E2+
This is the difference between two squares, and +x%5E2-y%5E2+=+%28x-y%29%28x%2By%29+
= +highlight%28+%28a-2c-b%29%28a-2c%2Bb%29+%29
—————————————
Check:

= +a%5E2+-+4ac+%2B4c%5E2+-b%5E2+ (ok)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Factorise : a^2-b^2-4ac+4c^2
= a^2-4ac+4c^2 - b^2
= (a-2c)^2 - b^2
= (a-2c-b)*(a-2c+b)