X4+y4and(x2-y2)2 whenx2+y2=5andxy=2
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Answer:
x2 + y2 = 5
xy = 2
Now,
x4 + y4 = (x2 + y2)2 - 2xy
= 5² - 2 * 2
= 25 - 4
= 21
and
(x² - y²) ² = x⁴ + y⁴ - 2x²y²
= 21 - 2(2) ²
= 21 - 8
= 13
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