Final answer:
To find h(-4 + a), substitute (-4 + a) into the given expression for h(a) and simplify the resulting expression to get h(-4 + a) = a^3 - 2a^2 - 12a + 64.
Step-by-step explanation:
To find h(-4 + a), you need to substitute (-4 + a) in place of 'a' in the expression for h(a). So, h(-4 + a) = (-4 + a)^3 - 2(-4 + a)^2.
To simplify this expression, you can expand and collect like terms. This results in h(-4 + a) = (-64 + 48a - 12a^2 + a^3) - 2(16 - 8a + a^2).
Combining like terms further, you get h(-4 + a) = a^3 - 2a^2 - 12a + 64.
Learn more about Expression substitution and simplification