How to Simplify the Expression: x^4 + 3x^3 + 3x^2 + 3x + 6 + x^2?

To simplify the expression x^4 + 3x^3 + 3x^2 + 3x + 6 + x^2, we first need to combine like terms. In this case, we can identify the like terms in the expression.

The like terms are:

• 3x^2 and x^2

When we combine these, we get:

• 3x^2 + x^2 = 4x^2

Now, let’s rewrite our original expression with this combined term:

x^4 + 3x^3 + 4x^2 + 3x + 6

This is the simplified form of the original expression. There are no further like terms to combine, and no factoring or special factoring techniques can be applied here.

Thus, the final simplified expression is:

x^4 + 3x^3 + 4x^2 + 3x + 6