Question

x-y/x2-xy+y2+x+y/x2+xy+y2-2y3/x4+x2y2+y4

Answer 1

Answer:

The answer is :

= x4 - y10 ÷ x8 + xy2 - 2y3 .

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Answer 2

Answer:

x4 + x2y2 + y4 = (x4 + 2x2y2 + y4) - x2y2 (note that one term is added and subtracted)

= (x2 + y2)2 – (xy)2, , by (4)

= [(x2 + y2) + xy] [(x2 + y2) – xy] , by (1)

= (x2 + xy + y2)(x2 –xy + y2)