Respuesta :

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].