a^2+6a-16

using the foil method, explain your work

To expand the expression (a^2 + 6a - 16) using the FOIL method, we need to multiply the terms in each pair:

F - First terms: a^2 * a = a^3
O - Outer terms: a^2 * 6a = 6a^3
I - Inner terms: 6a * a = 6a^2
L - Last terms: 6a * -16 = -96a

Now, we combine the terms:

a^3 + 6a^2 - 96a

Therefore, (a^2 + 6a - 16) = a^3 + 6a^2 - 96a.