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(a-1/2)^2(a^2+1/4)^2(a+1/2)^2
=[(a-1/2)(a+1/2)]^2(a^2+1/4)^2
=[a^2-1/4]^2[a^2+1/4]^2
=[(a^2-1/4)(a^2+1/4)]^2
=(a^4-1/16)^2
=a^8-a^4/8+1/256
=[(a-1/2)(a+1/2)]^2(a^2+1/4)^2
=[a^2-1/4]^2[a^2+1/4]^2
=[(a^2-1/4)(a^2+1/4)]^2
=(a^4-1/16)^2
=a^8-a^4/8+1/256
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