The property that justifies the sentence 6a2 + 2a = 2a(3a + 1) is

The distributive property states that multiply the term outside of the parenthesis by each term in that parenthesis. i.e,

As per the given statement:

Take RHS:

Apply the distributive property; we have;

= LHS

Therefore, the property that justifies the sentence is Distributive property

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2