Final Answer:
To multiply the expression 6x(x + 3y + 4z), apply the distributive property, distributing the 6x to each term within the parentheses. Therefore, the product of 6x and x + 3y + 4z is 6x² + 18xy + 24xz.
Step-by-step explanation:
To multiply the expression 6x(x + 3y + 4z), apply the distributive property, distributing the 6x to each term within the parentheses.
6x(x + 3y + 4z) = 6x · x + 6x · 3y + 6x · 4z
Simplify each term:
6x² + 18xy + 24xz
Therefore, the product of 6x and x + 3y + 4z is 6x² + 18xy + 24xz. This expression represents the result of multiplying 6x by each term in the parentheses using the distributive property.