Answer:
hmmmmmmmmmmmmmmmmmmm let me think about it.
Answer:
![2\frac{1}{9}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B9%7D)
Step-by-step explanation:
We want to simplify
![(-\frac{7}{6} )^{2} -3(\frac{1}{12} -\frac{1}{3})](https://tex.z-dn.net/?f=%28-%5Cfrac%7B7%7D%7B6%7D%20%29%5E%7B2%7D%20-3%28%5Cfrac%7B1%7D%7B12%7D%20-%5Cfrac%7B1%7D%7B3%7D%29)
Expand the parenthesis to get:
![(-\frac{7}{6} )^{2} -3*\frac{1}{12} +3*\frac{1}{3}](https://tex.z-dn.net/?f=%28-%5Cfrac%7B7%7D%7B6%7D%20%29%5E%7B2%7D%20-3%2A%5Cfrac%7B1%7D%7B12%7D%20%2B3%2A%5Cfrac%7B1%7D%7B3%7D)
![\frac{49}{36} -\frac{1}{4} +1](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B36%7D%20%20-%5Cfrac%7B1%7D%7B4%7D%20%2B1)
The LCD is 36
We express each term with denominator of 36
![\frac{49}{36} -\frac{9}{36} +\frac{36}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B36%7D%20%20-%5Cfrac%7B9%7D%7B36%7D%20%2B%5Cfrac%7B36%7D%7B36%7D)
Simplify
![\frac{49-9+36}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B49-9%2B36%7D%7B36%7D)
![\frac{76}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B76%7D%7B36%7D)
![\frac{19}{9}=2\frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B9%7D%3D2%5Cfrac%7B1%7D%7B9%7D)
To solve we have to write 12x as 2x+10x
<span><span>x2</span>+2x+10x+20</span>
taking x and 10 as a common
x(x+2)+10(x+2)
now (x+2) is common
<span>(x+2)(x+10) answer</span>
Answer:
A) 7 is the greatest common factor of the expression.
B) factoring the expression
we get ![\mathbf{7(2x+4y+3)}](https://tex.z-dn.net/?f=%5Cmathbf%7B7%282x%2B4y%2B3%29%7D)
Step-by-step explanation:
We are given the expression: ![14x + 28y + 21](https://tex.z-dn.net/?f=14x%20%2B%2028y%20%2B%2021)
Part A: What is the greatest common factor of the expression?
We need to find the greatest common factor of the expression.
The expression is divisible by 7
So, 7 is the greatest common factor of the expression.
Part B: Factor the expression
We need to factor the expression: ![14x + 28y + 21](https://tex.z-dn.net/?f=14x%20%2B%2028y%20%2B%2021)
Taking 7 common:
![14x + 28y + 21\\=7(2x+4y+3)](https://tex.z-dn.net/?f=14x%20%2B%2028y%20%2B%2021%5C%5C%3D7%282x%2B4y%2B3%29)
So, factoring the expression
we get ![\mathbf{7(2x+4y+3)}](https://tex.z-dn.net/?f=%5Cmathbf%7B7%282x%2B4y%2B3%29%7D)
This would be the set of rational numbers.
When dealing with money, we deal with parts of dollars, written as decimals. Decimals can be written as fractions, so these are rational numbers.