What is the simplest form of this expression?
(x − 4)(x2 + 3x − 5)

x^3 - x^2 - 17 x + 20

Step-by-step explanation:

Expand the following:

(x - 4) (x^2 + 3 x - 5)

| | | | x | - | 4

| | x^2 | + | 3 x | - | 5

| | | | -5 x | + | 20

| | 3 x^2 | - | 12 x | + | 0

x^3 | - | 4 x^2 | + | 0 | + | 0

x^3 | - | x^2 | - | 17 x | + | 20:

x^3 - x^2 - 17 x + 20

For this case we must simplify the following expression:

We must apply distributive property term by term, taking into account that:

To multiply powers of the same base, we place the same base and add the exponents.

So:

We add similar terms: