Simplify (y-4)^2

${(y - 4)}^{2}$

Step 1

Rewrite ${(y - 4)}^{2}$ as $(y - 4) (y - 4)$ .

$(y - 4) (y - 4)$

Step 2

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

Apply the distributive property.

$y (y - 4) - 4 (y - 4)$

Apply the distributive property.

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

Apply the distributive property.

$y \cdot y + y \cdot - 4 - 4 y - 4 \cdot - 4$

$y \cdot y + y \cdot - 4 - 4 y - 4 \cdot - 4$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

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

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

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

Multiply $- 4$ by $- 4$ .

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

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

Subtract $4 y$ from $- 4 y$ .

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

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

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