To find the product of the expression [tex]\( x(x+1) \)[/tex], let's break it down step by step.
1. Distribute [tex]\( x \)[/tex] to each term inside the parentheses:
[tex]\[
x(x + 1) = x \cdot x + x \cdot 1
\][/tex]
2. Carry out the multiplication for each term:
- [tex]\( x \cdot x = x^2 \)[/tex]
- [tex]\( x \cdot 1 = x \)[/tex]
3. Combine the results:
[tex]\[
x(x + 1) = x^2 + x
\][/tex]
So, the product of [tex]\( x(x+1) \)[/tex] is [tex]\( x^2 + x \)[/tex].
Therefore, the correct answer is:
[tex]\[
\boxed{x^2 + x}
\][/tex]
