Question

factorize a(b^2c+a)-a^2bc-b^2

Answer 1

This question seems to be tricky but it can be solved with a series of cautious steps:

Firstly we need to find out a common factor from the given six terms .

By observation,we found out 2nd & 5th term,and 3rd & 4th term have common factor of (c-a)

Thus our equation becomes:

=>bc^2 -b^2 C+ab^2 -ac^2 +a^2 c-a^2 b

=> bc^2 -b^2 (c-a)-ac(c-a)-a^2 b