Multiply each expression.
$3a(5a+3b)$

• A. $15a^2+3ab$
• B. $9a^2+15ab$
• C. $15a^2+9ab$
• D. $9a^2+9ab$

Answer: (C)

Verified step by step guidance

1. Identify the expression to multiply: \$3a(5a + 3b)\(. This means you will multiply \)3a$ by each term inside the parentheses.
2. Apply the distributive property: multiply \$3a\( by \)5a\( and then multiply \)3a\( by \)3b\(. Write this as \)3a \times 5a + 3a \times 3b$.
3. Multiply the coefficients (numbers) together: \$3 \times 5\( and \)3 \times 3$.
4. Multiply the variables using the laws of exponents: \(a \times a = a^{2}\) and \(a \times b = ab\).
5. Combine the results to write the expanded expression as \$15a^{2} + 9ab$.