Write an equivalent expression for 6x+5y+7xwrite an equivalent expression for 4g+2 using the distributive property (an explanation would be lovely as well! (: < 3 x )

(a)

Given the expression:

to find the equivalent expression:

Like terms states that in algebraic expressions, like terms are terms that contain the same variables raised to the same power.

Here, 6x and 7x are like terms

then:

by combine like terms in the given expressions we get;

Therefore, the equivalent expression of is

(b)

Given the expression:  4g +2

Distributive property states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.

i.e

by distributive property:

therefore, the equivalent expression of 4g +2 is, 2(2g+1)