[2(a-b)^2+4(a-b)^4+8a(a-b)^3]/2(a-b)^2

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[2(a-b)^2+4(a-b)^4+8a(a-b)^3]/2(a-b)^2
[2(a-b)^2+4(a-b)^4+8a(a-b)^3]/2(a-b)^2

[2(a-b)^2+4(a-b)^4+8a(a-b)^3]/2(a-b)^2
[2(a-b)^2+4(a-b)^4+8a(a-b)^3]/2(a-b)^2
=(2/2)(a-b)^(2-2)+(4/2)(a-b)^(4-2)+(8/2)(a-b)^(3-2)
=1+2(a-b)^2+4(a-b)
=2(a-b)^2+4(a-b) +1