Simplify (y-6)^2

${(y - 6)}^{2}$

Step 1

Rewrite ${(y - 6)}^{2}$ as $(y - 6) (y - 6)$ .

$(y - 6) (y - 6)$

Step 2

Expand $(y - 6) (y - 6)$ using the FOIL Method.

Apply the distributive property.

$y (y - 6) - 6 (y - 6)$

Apply the distributive property.

$y \cdot y + y \cdot - 6 - 6 (y - 6)$

Apply the distributive property.

$y \cdot y + y \cdot - 6 - 6 y - 6 \cdot - 6$

$y \cdot y + y \cdot - 6 - 6 y - 6 \cdot - 6$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot - 6 - 6 y - 6 \cdot - 6$

Move $- 6$ to the left of $y$ .

$y^{2} - 6 \cdot y - 6 y - 6 \cdot - 6$

Multiply $- 6$ by $- 6$ .

$y^{2} - 6 y - 6 y + 36$

$y^{2} - 6 y - 6 y + 36$

Subtract $6 y$ from $- 6 y$ .

$y^{2} - 12 y + 36$

$y^{2} - 12 y + 36$

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