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(x + y)2 = x2 + 2xy + y2

So x2 + y2 = (x + y)2 - 2xy = a2 - 2b

Then (x2 + y2)2 = x4 + 2x2y2 + y4

So x4 + y4 = (x2 + y2)2 - 2x2y2 = (a2 - 2b)2 - 2b2

= a4 - 4a2b + 4b2 - 2b2

= a4 - 4a2b + 2b2

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13y ago
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Q: How do you express x4 plus y4 if given x plus y equals a xy equals b?
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