Final answer:
To simplify the expression 6x(3 + 2x), we use the distributive property of multiplication over addition. The simplified expression is 18x + 12x^2.
Step-by-step explanation:
To simplify the expression 6x(3 + 2x), we use the distributive property of multiplication over addition.
This means we multiply each term inside the parentheses by 6x.
We start by multiplying 6x by 3, which gives us 18x.
Then we multiply 6x by 2x, which gives us 12x^2.
Combining these results, the simplified expression is 18x + 12x^2.