Answer :

x4 + 4y4


(x2)2 + (2y2)2


(x2 + 2y2)2 - 2× x2 × 2y2


(x2 + 2y2)2 - 4x2y2


(x2 + 2y2)2 – (2xy)2


(x2 + 2y2 + 2xy)(x2 + 2y2 – 2xy)


Now we get,


20114 + 64


20114 + 4 × 24


(20112)2 + (2×22)2


(20112 + 42)2 - 2× 20112 × 2 × 22


(20112 + 42)2 – 4 × 20112 × 22


(20112 + 42)2 – (2×2011×2)2
(
)


(20112 + 42 + 2×2011×2)(20112 + 42 – 2×2011×2)


(4044121 + 16 + 8044)(4044121 + 16 – 8044)


4052181 × 4036093


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