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1) ab^2-a-b^3+b ,
2) a^3+a^2-ab-b^3 ,
3) x^3-3y^2+3x^2-xy^2
1) ab^2-a-b^3+b ,
2) a^3+a^2-ab-b^3 ,
3) x^3-3y^2+3x^2-xy^2
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Answers & Comments
(ab^2-a) - (b^3-b) =
a*(b²-1)-b*(b²-1) =
(a-b)*(b-1*(b+1)
2) a^3+a^2-ab-b^3 =
(a^3-b^3)+(a^2-ab) =
(a-b)*(a^2+ab+b^2)+a*(a-b) =
(a-b)*(a^2+ab+b^2+a)
3) x^3-3y^2+3x^2-xy^2 =
(x^3+3x^2)-(3y^2+xy^2) =
x^2*(x+3)-y^2*(3+x) =
(x+3)*(x^2-y^20 =
(x+3)*(x-y)*(x+y)