Given:
The expression is
[tex]3ab^2+15a^2b^3+21a^3b^2[/tex]
To find:
The factor form of the given expression.
Solution:
We have,
[tex]3ab^2+15a^2b^3+21a^3b^2[/tex]
Taking out the common factors, we get
[tex]3ab^2(1+5ab+7a^2)[/tex]
It is clear that [tex](1+5ab+7a^2)[/tex] cannot be factories further.
Therefore, the factorized form of the given expression is [tex]3ab^2(1+5ab+7a^2)[/tex].