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13-09-2021
Mathematics

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2xy^2 + x^2y^4 +1 = ??
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LammettHash LammettHash

13-09-2021

Notice that

x²y⁴ + 2xy² + 1 = (xy²)² + 2xy² + 1²

can be factored as a sum of squares:

x²y⁴ + 2xy² + 1 = (xy² + 1)²

which follows from the identity

(a + b)² = a² + 2ab + b²

with a = xy² and b = 1.

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