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Write a numerical expression for each phrase, and simplify the expression. See Examples 6 and $7 .$The product of -3 and the difference of 3 and -7...

Question

Write a numerical expression for each phrase, and simplify the expression. See Examples 6 and $7 .$The product of -3 and the difference of 3 and -7

Write a numerical expression for each phrase, and simplify the expression. See Examples 6 and $7 .$ The product of -3 and the difference of 3 and -7



Answers

Simplify each expression.
$$
\frac{7 !}{3 !(7-3) !}
$$

All right, suing, each visible by the expression negative three times Y minus seven. So to simplify this, there's not really much to do here. We can see that there's a negative three on the outside of this parentheses. So the fact that it's written right next to the parentheses tells us that this is negative. Three. Being multiplied onto the sprint sees so what we need to do. ISS. Since there were true terms on the inside, we need to distribute the negative three onto both terms, so we're going to do that. So first we're going to distribute the negative three onto the Y. So negative three times why it's just negative. Three. Why there's not really anything anything else we can really do because we don't know what why is. So you have negative three times. Why that when we distribute the negative 300 negative seven? Well, we have negative three turns negative. Seven. I know that a negative terms of negative is a positive, and I know that the return seven is to want so let me get positive to anyone. So the answer is negative. Three. Why plus 21

We'll start distributing this negative to each of the numbers inside the perp. Aziz. Negative. Three times two exes. Negative. Six Xnegative three times five is negative 15 and we also have a negative six x Here, let's combine the exits. So negative six x and negative six exes. Negative 12 x We also have that negative 15. So this would be our answer.

So to start off, we're going to use the distributive property to distribute the two times each of the numbers inside its privacy to 10 6 exes, 12 x and two times negative. One is negative, too. Then we'll take this negative one and we'll distribute that as well. Negative one times X is negative. X a negative one times negative seven is positive. Seven. Let's combine the exes together such well x minus X is 11 minutes and negative two plus seven is positive five.

So those are awfully Use the distributive property to distribute the negative two times each of the numbers inside the prophecies they gave him two times three exits Negative six x negative. Two times negative fours. Positive. Eight. When we have seven s and negative six. Let's combine the exes together. Negative six. Excellent. Seven x makes one X and positive eight and negative six makes positive, too.


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