SOLUTION: factor 25(a-2b)^2 - 4(a+b)^2

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Question 1185609: factor 25(a-2b)^2 - 4(a+b)^2
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
25(a-2b)^2 - 4(a+b)^2
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It's a difference of 2 squares.
= %285%28a-2b%29+%2B+2%28a%2Bb%29%29%2A%285%28a-2b%29+-+2%28a%2Bb%29%29
= %285a-10b+%2B+2a%2B2b%29%2A%285a-10b+-2a-2b%29
= %287a+-+8b%29%2A%283a+-+12b%29
= 3%287a+-+8b%29%2A%28a+-+4b%29

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
25%28a%5E2-4ab%2B4b%5E2%29-4%28a%5E2%2B2ab%2Bb%5E2%29
25a%5E2-100ab%2B100b%5E2-4a%5E2-8ab-4b%5E2
21a%5E2-108ab%2B96b%5E2
3%287a%5E2-36ab%2B32b%5E2%29
Different combinations could be tried for the quadratic factorization.
3%287a-8b%29%28a-4b%29