Simplify (c-4)(c-4)

$(c - 4) (c - 4)$

Step 1

Expand $(c - 4) (c - 4)$ using the FOIL Method.

Apply the distributive property.

$c (c - 4) - 4 (c - 4)$

Apply the distributive property.

$c \cdot c + c \cdot - 4 - 4 (c - 4)$

Apply the distributive property.

$c \cdot c + c \cdot - 4 - 4 c - 4 \cdot - 4$

$c \cdot c + c \cdot - 4 - 4 c - 4 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $c$ by $c$ .

$c^{2} + c \cdot - 4 - 4 c - 4 \cdot - 4$

Move $- 4$ to the left of $c$ .

$c^{2} - 4 \cdot c - 4 c - 4 \cdot - 4$

Multiply $- 4$ by $- 4$ .

$c^{2} - 4 c - 4 c + 16$

$c^{2} - 4 c - 4 c + 16$

Subtract $4 c$ from $- 4 c$ .

$c^{2} - 8 c + 16$

$c^{2} - 8 c + 16$

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