Expand and simplify y(2y+5) +4(2y+3)

Final answer: The simplified form of the original expression y(2y+5) +4(2y+3) is 2y² + 13y + 12. Explanation: The student's question is asking to expand and simplify the algebraic expression y(2y+5) +4(2y+3). To expand the expression, we distribute the y across the terms inside the first parentheses, y * 2y and y * 5. Then we distribute the 4 across the terms inside the second parentheses, 4 * 2y and 4 * 3. This results in: 2y² + 5y + 8y + 12. Next, we combine like terms, specifically 5y and 8y. Adding them together gives us: 2y² + 13y + 12. This is the simplified form of the original expression.