(x+5)×6+(x-3)²

To simplify the expression \((x+5) \times 6 + (x-3)^2\), we will follow these steps: 1. Distribute \(6\) in the first term. 2. Expand the square in the second term. 3. Combine like terms if possible. Let's start: 1. Expand \((x+5) \times 6\): \[ (x + 5) \times 6 = 6x + 30 \] 2. Expand \((x-3)^2\): \[ (x - 3)^2 = x^2 - 6x + 9 \] 3. Now combine these two results: \[ 6x + 30 + (x^2 - 6x + 9) \] 4. Combine like terms: \[ 6x - 6x + x^2 + 30 + 9 = x^2 + 39 \] So, the simplified expression is: \[ \boxed{x^2 + 39} \]