Question

Using factor theorem, Show that (a - b) is the factor of a (b^2 -c^ 2 ) +b (c^2 -a^ 2 ) + c (a^2 -b^ 2 )​

Answer 1

Step-by-step explanation:

Let's simplify step-by-step.

b2−c2+b(c2−a2)+c(a2−b2)

Distribute:

=b2+−c2+(b)(c2)+(b)(−a2)+(c)(a2)+(c)(−b2)

=b2+−c2+bc2+−a2b+a2c+−b2c

Answer:

=−a2b+a2c−b2c+bc2+b2−c2