Use the distributive property to simplify the expression.
$x(x+5)$

• A. $x+x+5x$
• B. $x+5x$
• C. $x^2+5$
• D. $x^2+5x$

Answer: (D)

Verified step by step guidance

1. Identify the expression to simplify: \(x\left(x+5\right)\).
2. Apply the distributive property, which means multiplying \(x\) by each term inside the parentheses: \(x \times x\) and \(x \times 5\).
3. Write the products from the distribution: \(x \times x = x^{2}\) and \(x \times 5 = 5x\).
4. Combine the results to form the simplified expression: \(x^{2} + 5x\).
5. Check that the expression is fully simplified by confirming there are no like terms to combine further.