SOLUTION: please help me solve this equation {{{ h^4+64 }}} this is factor completely

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Question 638750: please help me solve this equation +h%5E4%2B64+
this is factor completely

Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
This is a sum of two squares factorization. x%5E2+%2B+y%5E2 factors to (x+yi)(x-yi) where i is the complex number sqrt%28-1%29 and i%5E2+=+-1.


The trick is recognizing that h%5E4+=+%28h%5E2%29%5E2. Of course 64 = 8^2.


%28h%5E2%29%5E2+%2B+8%5E2 factors to %28h%5E2+%2B+8i%29%28h%5E2+-+8i%29.