Need it can be multiple answers explain p

Here we are given the expression : z+ (z+6)

In this we will use the concept of like terms.

Like terms are terms whose variables (and their exponents such as the 2 in x²) are the same. In other words, terms that are "like" each other.

so here we have z and z which have same exponent which is 1.

So we can say that z and z are like terms.

So adding z and z we get 2z

so our expression becomes 2z+3

Now we may use distributive property here which is :

ab + ac = a(b+c)

where "a" is gcf of the two terms.

so in our expression 2z+6 , gcf is 2

taking 2 common out we have 2(z+3).

So answer is option c) 2(z+3).

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