Factor x3 + 2x2 + x completely. (x + 1)2 x(x2 + 1) x(x + 1)2

Step-by-step explanation:

Given:

The expression to factor is given as:

In order to factor it, we write the factors of each of the terms of the given polynomial. So,

The factors of the three terms are:

Now, 'x' is a common factor for all the three terms. So, we factor it out. This gives,

Now, we know a identity which is given as:

Here, can be rewritten as

So,

Thus,

Therefore, the complete factorization of the given expression is: