(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, \((5a + 3) - (-2a^2 + a + 7) = 2a^2 + 4a - 4\).