Question

因式分解一道

ab^3-2a^2b+a^3
题目没错，是ab^3-2a^2 b+a^3

Answer 1

解：ab^3-2a^2b+a^3ab^2-2a^2b+a^3
=a（b^3-2ab+a^2）
=a[(b^3-ab)-(ab-a^2]
=a[b(b^2-a)-a(b-a)]

Answer 2

ab^2-2a^2b+a^3
=a(b^2-2ab+a^2)
=a(b-a)^2

Answer 3

ab^3-2a^2b+a^3
=a(b³-2ab+a²)