Simplify (z+5)(z-6)

$(z + 5) (z - 6)$

Expand $(z + 5) (z - 6)$ using the FOIL Method.

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Apply the distributive property.

$z (z - 6) + 5 (z - 6)$

Apply the distributive property.

$z \cdot z + z \cdot - 6 + 5 (z - 6)$

Apply the distributive property.

$z \cdot z + z \cdot - 6 + 5 z + 5 \cdot - 6$

Simplify and combine like terms.

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Simplify each term.

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Multiply $z$ by $z$ .

$z^{2} + z \cdot - 6 + 5 z + 5 \cdot - 6$

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

$z^{2} - 6 \cdot z + 5 z + 5 \cdot - 6$

Multiply $5$ by $- 6$ .

$z^{2} - 6 z + 5 z - 30$

Add $- 6 z$ and $5 z$ .

$z^{2} - z - 30$

Simplify (z+5)(z-6)

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