Express distributive property 30+42

6 (5+7)

Step-by-step explanation:

The GCF is 6. 30/6=5 and 42/6=7

Answer:72

Step-by-step explanation:Before I leave the answer, as a tutor, I feel it my responsibility to explain precisely what the Distributive property means, so that in the future, it may assist you on these kinds of problems, fair enough?

The distributive property tells us how to solve equations or expressions in the form of a (b + c). In other words, we are multiplying and adding which when done, will provide us with the exact same answer.

Here is a quick example:

2 (3 + 5) can be expressed as 2 (8) and with the order of operations which you are most likely familiar with, becomes 16.

In other words, we are simply adding what is inside the parentheses and then multiplying the value prior to those parentheses, okay?

Now, consider the distributive property with the exact same values.

2 (3 + 5) =

In this case, we distribute by multiplying the value outside the parentheses and we do so with both terms in the parentheses and add them together.

Therefore:

2 (3 + 5) =

6 + 10 =

16

Now, do you remember the answer we arrived at when we simply followed the order of operations?

2 (3 + 5) =

2 (8) =

16

As you can see, both answers are the exact same, hence why we call it a distributive law of mathematics, okay?

Now, the expression provided above is

30 + 42

So, ask yourself this question: What number goes into both 30 and 42 remembering we want to express this in its final form? You could use 2, right? But that would leave you with 2 (15 + 21). Do you see the problem using 2 as the number? If not, we still can further simplify the terms inside the parentheses, like say, a 3, right? So, the 2 is not expressing through the distributive law or property in its simplest form.

So, how about we go with 6? When we take divide 6 into the 30 and 42, we end up with the following:

6 (5 + 7)

Now notice Sophia: we have provided this expression in its simplest form, right? Let's see if the work we have done here is correct?

Add 30 + 42 and we arrive at 72, correct?

Now, use the distributive property on the following:

6 (5 + 7) =

30 + 42 =

72