Use the distributive property to simplify the expression.
(D) $x(2x+7y)$

• A. $2x^2+7y$a
• B. $2x^2+7xy$
• C. $2x+7xy$
• D. $2x^2+7x$

Answer: (B)

Verified step by step guidance

1. Identify the expression to simplify: \(x\left(2x + 7y\right)\).
2. Apply the distributive property, which means multiplying \(x\) by each term inside the parentheses separately.
3. Multiply \(x\) by the first term inside the parentheses: \(x \times 2x = 2x^2\).
4. Multiply \(x\) by the second term inside the parentheses: \(x \times 7y = 7xy\).
5. Combine the results to write the simplified expression as \$2x^2 + 7xy$.