Question

X4+y4and(x2-y2)2 whenx2+y2=5andxy=2

Answer 1

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