Multiply 4x(y + x + z)

To multiply (4x(y + x + z)), we use the distributive property, which means we will distribute (4x) to each term inside the parentheses.

1. Distributing (4x) to (y):

[

4x cdot y = 4xy

]

2. Distributing (4x) to (x):

[

4x cdot x = 4x^2

]

3. Distributing (4x) to (z):

[

4x cdot z = 4xz

]

Now, we combine these results:

[

4xy + 4x^2 + 4xz

]

So, the correct answer is (4xy + 4x^2 + 4xz).

This matches the third option you provided. Great job working through this! If you have more questions, feel free to ask or check the extended services page for additional help.