Question

1. use the distributive property to find (2z - 2)(z + 6)

Explanation:

Step1: Apply distributive property

$(2z - 2)(z + 6) = 2z(z + 6) - 2(z + 6)$

Step2: Distribute terms individually

$2z(z + 6) - 2(z + 6) = 2z^2 + 12z - 2z - 12$

Step3: Combine like terms

$2z^2 + (12z - 2z) - 12 = 2z^2 + 10z - 12$

Answer:

$2z^2 + 10z - 12$