Factoring into Linear Factors How would one factor the following expression:
$(b - a)(c^2 - a^2) - (c-a)(b^2 - a^2)$
into the set of linear factors:
$(b - a)(c - a)(c - b)$
(This is not for homework but rather exam review. I ran into this issue when required to calculate a matrix's determinant in linear factor form).
Thank you!

Recall that 
$$x^2-y^2=(x-y)(x+y)$$
then
\begin{array}((b - a)(c^2 - a^2) - (c-a)(b^2 - a^2)&=(b-a)(c-a)(c+a)-(c-a)(b-a)(b+a)\\&=(b-a)(c-a)[(c+a)-(b+a)]\\&=(b-a)(c-a)(c-b)\end{array}
