To multiply the expression \( 2x(x + 2xy) \), we can distribute \( 2x \) to both terms inside the parentheses: \[ 2x(x + 2xy) = 2x \cdot x + 2x \cdot 2xy \] Now, simplify each term: 1. \( 2x \cdot x = 2x^2 \) 2. \( 2x \cdot 2xy = 4x^2y \) Now, combine the terms: \[ 2x^2 + 4x^2y \] Thus, the result of the multiplication is: \[ 2x^2 + 4x^2y \]