Simplify (y-5)^2

${(y - 5)}^{2}$

Step 1

Rewrite ${(y - 5)}^{2}$ as $(y - 5) (y - 5)$ .

$(y - 5) (y - 5)$

Step 2

Expand $(y - 5) (y - 5)$ using the FOIL Method.

Apply the distributive property.

$y (y - 5) - 5 (y - 5)$

Apply the distributive property.

$y \cdot y + y \cdot - 5 - 5 (y - 5)$

Apply the distributive property.

$y \cdot y + y \cdot - 5 - 5 y - 5 \cdot - 5$

$y \cdot y + y \cdot - 5 - 5 y - 5 \cdot - 5$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot - 5 - 5 y - 5 \cdot - 5$

Move $- 5$ to the left of $y$ .

$y^{2} - 5 \cdot y - 5 y - 5 \cdot - 5$

Multiply $- 5$ by $- 5$ .

$y^{2} - 5 y - 5 y + 25$

$y^{2} - 5 y - 5 y + 25$

Subtract $5 y$ from $- 5 y$ .

$y^{2} - 10 y + 25$

$y^{2} - 10 y + 25$

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