Which of the following is equivalent to (c – 4)(c – 4)?

For this case we must find an expression equivalent to [tex](c - 4) (c - 4)[/tex], for this, we must apply distributive property, which by definition establishes:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]
So:
[tex](c - 4) (c - 4) = c ^ 2-4c-4c + (- 4) (- 4)[/tex]
taking into account that [tex]- * - = +[/tex]
[tex](c - 4) (c - 4) = c ^ 2-8c + 16[/tex]
Answer:
Option C