Question

Factorise 3ab²+15a²b³+21a³b²​

Answer 1

Given:

The expression is

`3ab^2+15a^2b^3+21a^3b^2`

To find:

The factor form of the given expression.

Solution:

We have,

`3ab^2+15a^2b^3+21a^3b^2`

Taking out the common factors, we get

`3ab^2(1+5ab+7a^2)`

It is clear that
`(1+5ab+7a^2)` cannot be factories further.

Therefore, the factorized form of the given expression is
`3ab^2(1+5ab+7a^2)`.