Simplify (y-3)^2

${(y - 3)}^{2}$

Step 1

Rewrite ${(y - 3)}^{2}$ as $(y - 3) (y - 3)$ .

$(y - 3) (y - 3)$

Step 2

Expand $(y - 3) (y - 3)$ using the FOIL Method.

Apply the distributive property.

$y (y - 3) - 3 (y - 3)$

Apply the distributive property.

$y \cdot y + y \cdot - 3 - 3 (y - 3)$

Apply the distributive property.

$y \cdot y + y \cdot - 3 - 3 y - 3 \cdot - 3$

$y \cdot y + y \cdot - 3 - 3 y - 3 \cdot - 3$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot - 3 - 3 y - 3 \cdot - 3$

Move $- 3$ to the left of $y$ .

$y^{2} - 3 \cdot y - 3 y - 3 \cdot - 3$

Multiply $- 3$ by $- 3$ .

$y^{2} - 3 y - 3 y + 9$

$y^{2} - 3 y - 3 y + 9$

Subtract $3 y$ from $- 3 y$ .

$y^{2} - 6 y + 9$

$y^{2} - 6 y + 9$

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