Final answer:
The factored equivalent expression for 12z+36 is 12(z + 3) after factoring out the common factor of 12.
Step-by-step explanation:
When asked to write all factored equivalent expressions for 12z+36, we look for common factors. Both terms have a common factor of 12. Factoring out the 12, we get 12(z + 3). There are no other common factors, and the expression cannot be factored further as both terms within the parentheses are prime with respect to each other.