Factorise x4 +y4-11x2y2
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Answer:
(x2+y2-3xy) (x2-y2+3xy)
explanation:
first:-
use the identity
a2+b2+2ab
and use it for x4+y4
So, x4+y4+2 x2y2-11 x2y2
Then
subtract 2 x2y2 - 11 x2y2
x4 + y4 - 9 x2y2
=(x2+y2)2 - (3xy)2
= (x2 + y2- 3xy) (x2-y2+3xy)
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