Question

How do you find the reverse distributive property of $12a+ab$ ?

Answer 1

Hint: In this question, we have to find the reverse distributive property of an algebraic equation. As we know, the distributive property states that to first open the brackets of the equation and then apply the mathematical operations. So, in this problem, we have to find the reverse of the same. That is we will first take common variable a from the equation and solve further to get the result of the problem.

Complete step by step answer:
According to the question, we have to find the reverse distributive property of an algebraic equation.
As we know, the reverse of distributive property means to reassemble the simplified equation after applying the distributive property to the actual problem.
Thus, we will use the factoring method to get the result.
The algebraic equation give to us is $12a+ab$ --------- (1)
Thus, we see that both the terms of the equation (1), the variable a is common, which implies we will factor both the terms by taking common a from it, that is
$a(12+b)$
Thus, we see from above that if we apply the distributive property in the above equation, we will get the given equation from the problem.

Therefore, for the equation $12a+ab$, its reverse distributive property equals to $a(12+b)$

Note: While solving this problem, keep in mind the distributive property because it will only help to find the reverse of it. Do step-by-step calculations to avoid confusion and mathematical mistakes.