![20cschultz](/avatars/41960.jpg)
20cschultz
19.08.2019 •
Mathematics
Write an equivalent expression for (x-6)(x-3) by using the distributive property
use the distributive property to write an equivalent expression for (2m+3)(m-1)
Solved
Show answers
More tips
- H Health and Medicine Sunstroke: Causes, Symptoms, and Precautions...
- F Family and Home Do You Really Need a Playpen for Your Child?...
- F Food and Cooking Do Aphrodisiacs Really Work? Separating Fact from Fiction...
- C Computers and Internet Log-in: what is it and why do you need it?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
Answers on questions: Mathematics
- M Mathematics ✧・゚:Multiple Choice:・゚✧ What is the slope of the line in the graph below? A. -2 B. -1 C. 1 D. 2 ° ♡ ₒ ♡ ° Thank you!...
- M Mathematics Select 2 strategies that we can use to subtract 110 - 12. Choose 2 A.Subtract 110 - 10, then subtract 2. B.Subtract 108 - 10 C.Subtract 112 - 10....
- M Mathematics Find the derivative of the following function...
- M Mathematics One none or many solutions 30+6p=7(p+6)-5...
Ответ:
1.)![(x-6)(x-3)=](/tpl/images/0177/5625/5f705.png)
![x^{2} -9x+18](/tpl/images/0177/5625/eabac.png)
2.)![(2m+3)(m-1)=](/tpl/images/0177/5625/66a53.png)
![2m^{2} +m-3](/tpl/images/0177/5625/f644f.png)
Step-by-step explanation:
When solving these types of expressions we can use two different methods (both are ways to solve via distributive method), the FOIL method or the box method. I'm going to be using the FOIL method, as the box method is easier to understand visually.
FOIL stands for "First Outside Inside Last"
You multiply the first terms, then the outside terms, then the inside terms, and finally the last terms and then combine like terms.
In the first expression, (x-6)(x-3), we can use FOIL as follows:
The First terms are: the x in (x-6) and the x in (x-3). They are the first terms in both parenthesis.The Outside terms are: the x in (x-6) and the -3 in (x-3). They are the outer most terms in the expression.The Inside terms are: the -6 in (x-6) and the x in (x-3). They are the inner most terms in the expression.The Last terms are: the -6 in (x-6) and the -3 in (x-3). They are the last terms in both parenthesis.Multiply them in order, starting with
F:![x*x=x^{2}](/tpl/images/0177/5625/f8186.png)
O:![x*-3=-3x](/tpl/images/0177/5625/63fd2.png)
I:![-6 * x=-6x](/tpl/images/0177/5625/d8e4d.png)
L:![-6*-3=18](/tpl/images/0177/5625/77f46.png)
Combine like terms, in this case the like terms are: -3x and -6x, when combined, it equals -9x. Now, we put the expression in the proper order.
Your answer should be:![x^{2} -9x+18](/tpl/images/0177/5625/eabac.png)
Do the same process for the next expression.
First: 2m and mOutside: 2m and -1Inside: 3 and mLast: 3 and -1Multiply:
F:![2m*m=2m^{2}](/tpl/images/0177/5625/37620.png)
O:![2m*-1=-2m](/tpl/images/0177/5625/806c1.png)
I:![3 * m = 3m](/tpl/images/0177/5625/c1619.png)
L:![3 * -1 = -3](/tpl/images/0177/5625/bbfc6.png)
Combine like terms: -2m and 3m
Your answer should be:![2m^{2} +m-3](/tpl/images/0177/5625/f644f.png)
Ответ:
p(x,y) ⇒ p(y,x)