Question

Find the following product(y^2-5y-2)(y+8)

Answer 1

\[(y^2-5y-2)(y+8)\]
\[y^3+8y^2-5y^2-40y-2y-16\]
\[y^3+3y^2-42y-16\]

Answer 2

y^3 + 8y^2 - 40y - 5y^2 - 2y -16
= y^3 + 3y^2 - 42y - 16

Answer 3

the underlying theme here is to simply multiply it all out:

y^2 -5y -2
y +8
-----------
y^3 -5y^2 -2y
8y^2 -40y -16
-------------------
y^3 +3y^2 -42y -16