4c(c-2) - (c-4)^2
First, we need to expand the squared term:
(c-4)^2 = (c-4)(c-4)(c-4)(c-4) = (c^2 - 4c - 4c + 16)(c^2 - 8c + 16)
Now substitute this back into the original expression:
4c(c-2) - (c^2 - 8c + 16)
Now distribute the 4c:
4c^2 - 8c - c^2 + 8c - 16
Combine like terms:
3c^2 + 0c - 16
Finally, the simplified expression is:
3c^2 - 16.
4c(c-2) - (c-4)^2
First, we need to expand the squared term:
(c-4)^2 = (c-4)(c-4)
(c-4)(c-4) = (c^2 - 4c - 4c + 16)
(c^2 - 8c + 16)
Now substitute this back into the original expression:
4c(c-2) - (c^2 - 8c + 16)
Now distribute the 4c:
4c^2 - 8c - c^2 + 8c - 16
Combine like terms:
3c^2 + 0c - 16
Finally, the simplified expression is:
3c^2 - 16.