Question

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

Answer 1

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

`a \cdot (b+c) = a\cdot b+ a\cdot c`

As per the given statement:

`6a^2+2a = 2a(3a+1)`

Take RHS:

`2a(3a+1)`

Apply the distributive property; we have;

`6a^2+2a` = LHS

Therefore, the property that justifies the sentence
`6a^2+2a = 2a(3a+1)` is Distributive property