Question

the property allows an equation in or written as a system of equa distributive substitution zero product

Explanation:

The zero product property states that if $ab=0$, then $a=0$ or $b=0$. This is the property that allows a single equation (typically a factored polynomial equation equal to 0) to be split into a system of equations where each factor is set equal to 0. The other properties do not apply here: the distributive property is for expanding expressions like $a(b+c)=ab+ac$, and substitution is for replacing variables with equivalent expressions.

Answer:

zero product