The expression you provided is \( x(x + 1) \).

To expand this expression, you multiply \( x \) by each term inside the parentheses:

\[
x(x + 1) = x \cdot x + x \cdot 1 = x^2 + x
\]

So, the expanded form is \( \boxed{x^2 + x} \).

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you factor the expression \( x^2 + x \)?
2. What is the value of \( x(x+1) \) when \( x = 2 \)?
3. How does the distributive property apply to expressions like \( x(x+1) \)?
4. Can you simplify the expression \( x(x + 2) \) using the same method?
5. How do you solve the equation \( x(x + 1) = 0 \)?

**Tip:** When expanding expressions, always distribute each term outside the parentheses to every term inside.

Learn how to expand the expression x(x + 1) step-by-step with detailed explanations. This problem covers key algebraic concepts, including the distributive property and polynomial expansion. Suitable for students in Grades 7-9.

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