(5a+3)-(-2a2+a+7)

To simplify the expression \((5a + 3) - (-2a^2 + a + 7)\), follow these steps: 1. Distribute the negative sign: \[ (5a + 3) + (2a^2 - a - 7) \] 2. Now combine the like terms: - For the \(a^2\) term: \(2a^2\) - For the \(a\) terms: \(5a - a = 4a\) - For the constant terms: \(3 - 7 = -4\) Putting it all together, the simplified expression is: \[ 2a^2 + 4a - 4 \] Thus, \((5a + 3) - (-2a^2 + a + 7) = 2a^2 + 4a - 4\).