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

• A. $2x^2+7y$
• 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: \(x \times 2x\) and \(x \times 7y\).
3. Multiply the coefficients and variables for each term: \(x \times 2x\) becomes \$2x^2\( because \(x \times x = x^2\), and \(x \times 7y\) becomes \)7xy$.
4. Write the simplified expression by combining the two products: \$2x^2 + 7xy$.
5. Check that each term is simplified correctly and that there are no like terms to combine further.