To simplify the expression, let's expand each term:

((m+3)^2 = m^2 + 6m + 9)((m-2)(m+2) = m^2 - 4)((a-1)^2 = a^2 - 2a + 1)((a+1)(a-2) = a^2 - 2a - 2)((c+2)(c-3) = c^2 - c - 6)((c-1)^2 = c^2 - 2c + 1)

Substitute these expanded terms back into the original expression:

[ (m^2 + 6m + 9) - (m^2 - 4) + (a^2 - 2a + 1)(a^2 - 2a - 2) - (a^2 - 2a - 2) + (c^2 - c - 6) - (c^2 - 2c + 1) ]

Now, simplify by combining like terms:

[ 6m + 13 + (a^4 - 4a^2 - 6a + 5) - (a^2 - 2a - 2) + (c^2 - c - 6) - (c^2 - 2c + 1) ]

Combine the terms within the brackets:

[ a^4 - a^2 - 8a + 7 + c^2 - c - 6 - c^2 + 2c - 1 ]

Simplify further by combining like terms:

[ a^4 - a^2 - 8a + 7 - 1 ]

[ a^4 - a^2 - 8a + 6 ]

Therefore, the simplified expression is ( a^4 - a^2 - 8a + 6 ).