(v) a4 - 2a-b2 + b4
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Explanation:
a2b2+b4=8
so (a2+b2)2-a2b2=8
a2 + ab + b2 = 4 so
(a+b)2-ab=4
from 1st equation,
(a2+b2+ab)(a2+b2-2ab+ab)=8
4(4-2ab)=8
(4-2ab)=2
ab=1
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