Question

Phân tích đa thức thành nhân tử:

a³-a²c+a²b -abc

Answer 1

Answer 2

Giải:

\(a^3-a^2c+a^2b-abc\)

\(=a\left(a^2-ac+ab-bc\right)\)

\(=a\left[\left(a^2-ac\right)+\left(ab-bc\right)\right]\)

\(=a\left[a\left(a-c\right)+b\left(a-c\right)\right]\)

\(=a\left(a-c\right)\left(a+b\right)\)

Chúc bạn học tốt!

Answer 3

\(a^3-a^2c+a^2b-abc\)

\(=a\left(a^2-ac+ab-bc\right)\)

\(=a\left[\left(a^2-ac\right)+\left(ab-bc\right)\right]\)

\(=a\left[a\left(a-c\right)+b\left(a-c\right)\right]\)

\(a\left(a-c\right)\left(a+b\right)\)