(4x^4-3x^3-x+3) + (2x^3 + 3x - 4)

Combine like terms.

4x^4 -x^3 + 2x -1

I hope this helps. Thanks for asking.

(4x+4)(x+4)

To simplify the given expression (4x^4-3x^3-x+3) + (2x^3 + 3x - 4), you need to combine like terms.

First, let's group the like terms together.
The expression can be written as:
(4x^4) + (-3x^3 + 2x^3) + (-x + 3x) + (3 - 4)

Now, let's simplify each group of like terms:

The first group has only one term, 4x^4, so it remains the same.

For the second group, -3x^3 + 2x^3, you can combine the coefficients of the same power of x (which is x^3). -3x^3 + 2x^3 is equal to -1x^3 or simply -x^3.

For the third group, -x + 3x, you can also combine the coefficients of x. -x + 3x is equal to 2x.

The fourth group has one term, 3 - 4, which simplifies to -1.

Now, let's put all of the simplified terms back together:

(4x^4) + (-x^3) + (2x) + (-1)

So the simplified expression is 4x^4 - x^3 + 2x - 1.