Multiply (z-3)^2 - Math help

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

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

$(z - 3) (z - 3)$

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

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Apply the distributive property.

$z (z - 3) - 3 (z - 3)$

Apply the distributive property.

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

Apply the distributive property.

$z \cdot z + z \cdot - 3 - 3 z - 3 \cdot - 3$

Simplify and combine like terms.

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Simplify each term.

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Multiply $z$ by $z$ .

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

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

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

Multiply $- 3$ by $- 3$ .

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

Subtract $3 z$ from $- 3 z$ .

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

Multiply (z-3)^2

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