8b^3-a^3+a-2b
_________________
1-(a+b)^2-3b^2
8b^3-a^3+a-2b (2b-a)(4b^2+2ab+a^2)-(2b-a)
_________________ = __________________________ =
1-(a+b)^2-3b^2 1-a^2-b^2-3b^2
= (2b-a)(4b^2+2ab+a^2-1)
___________________________ = -(2b-a)=a-2b
-(4b^2+2ab+a^2-1)
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Verified answer
8b^3-a^3+a-2b (2b-a)(4b^2+2ab+a^2)-(2b-a)
_________________ = __________________________ =
1-(a+b)^2-3b^2 1-a^2-b^2-3b^2
= (2b-a)(4b^2+2ab+a^2-1)
___________________________ = -(2b-a)=a-2b
-(4b^2+2ab+a^2-1)