\(a\left(b^2-c^2\right)-b\left(c^2-a^2\right)-c\left(a^2-b^2\right)\)
\(=ab^2-ac^2-bc^2+a^2b-a^2c+b^2c\)
\(=ab^2+b^2c-ac^2-a^2c+a^2b-bc^2\)
\(=b^2\left(a+c\right)-ac\left(a+c\right)+b\left(a-c\right)\left(a+c\right)\)
\(=\left(a+c\right)\left[b^2-ac+b\left(a-c\right)\right]\)
\(=\left(a+c\right)\left(b^2-ac+ab-bc\right)\)
Nho k nha