(а+3) +(a-3)(а+3)+ба

To simplify the expression \((a + 3) + (a - 3)(a + 3) + ba\), we will first expand the second term \((a - 3)(a + 3)\) using the difference of squares formula: \[ (a - 3)(a + 3) = a^2 - 9 \] Now substituting back into the expression: \[ (a + 3) + (a^2 - 9) + ba \] Next, combine like terms: 1. The linear terms: \(a + 3 - 9 = a - 6\) 2. The quadratic term: \(a^2\) 3. The \(ba\) term stays as is. So the expression simplifies to: \[ a^2 + ba + (a - 6) \] Thus, the final simplified expression is: \[ a^2 + ba + a - 6 \] Or simply: \[ a^2 + (b + 1)a - 6 \]