Multiply. 4x(y + x + z)
5xy + 4xz
4x²yz
4xy + 4x² + 4xz
4x² + y + z
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Multiply. 4x(y + x + z)
5xy + 4xz
4x²yz
4xy + 4x² + 4xz
4x² + y + 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).
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