Use a form of the distributive property to rewrite each algebraic expression without parentheses.$$rac{1}{3}(12+6 r)$$...

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{3}(12+6 r)$$

To simplify this expression will use the distributive property. So we have 12 times 1/6 plus 12 times 3/4 s and 12 times 1/6 is too, and 12 times 3/4 is nine. So if two plus nine s

Here we have a reminder of the distributive property and our problem looks like this version right here. So what we want to do is multiply 12 by two j and multiply 12 56 So 12 times to J minus 12 times six 12 times to J is 24 j 12 times six is 72. So 24 J minus 72.

We're being asked to simplify the product of the two by no meals to our minus three and our plus one using distributed property. Well, here's how that works. What we're going to do is we're gonna take the first term in our first polynomial, which is to r and we're gonna multiply it by the second polynomial, which is our plus one. Next, we're going to take the second term in that first polynomial, which is negative three, and also multiply that by our second polynomial are plus one. So now we first need to distribute. The two are to both terms and at first said the parentheses, while to our times are is to r squared and to our times, one is positive to our next we'll distribute the negative three to the second set of preface is well, negative. Three times are is negative. Three are and negative three times one is negative. Three. Now we need to combine any like terms while our only like terms are the two middle terms of positive to R and negative. Three are well to our minus three. R is negative. One are so we will be left with two R squared minus one R minus three. Now, you can leave this as your final answer. However you notice the coefficient of our second term negative one. You don't actually have to write the one in, so you could simply write your final answer as to R squared minus R minus three.

All right, let's evaluate this expression three times four and three times. Six You three times four and three times six. You all right? We all know that three times four is 12. We also all know that three times six is 18 and then 18 times you is 18 years, so 12 plus 18 years.