x4 + 4x2y2 +16y4

The given number is, x4+4x2y2+16y4=x4+8x2y2+16y4-4x2y2=x22+2×x2×4y2+4y22-2xy2 Since a+b2=a2+b2+2ab=x2+4y22-2xy2=x2+4y2+2xyx2+4y2-2xy

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