Answer:
GCF is ![9x^2y](https://tex.z-dn.net/?f=9x%5E2y)
Step-by-step explanation:
When the GCF or the greatest common factor of the expression is required to be found, then take the common terms, and write the expression in the factor form first.
Now, here we have to find the factor of the expression:
![6x^4y^3\cdot 21x^2y^2-9x^2y\\](https://tex.z-dn.net/?f=6x%5E4y%5E3%5Ccdot%2021x%5E2y%5E2-9x%5E2y%5C%5C)
which can be re-written as:
![6x^4y^3\cdot 21x^2y^2-9x^2y\\=126x^6y^5-9x^2y](https://tex.z-dn.net/?f=6x%5E4y%5E3%5Ccdot%2021x%5E2y%5E2-9x%5E2y%5C%5C%3D126x%5E6y%5E5-9x%5E2y)
Now, this is further written as:
![126x^6y^5-9x^2y\\=14\cdot \:9x^2x^4yy^4-9x^2y\\](https://tex.z-dn.net/?f=126x%5E6y%5E5-9x%5E2y%5C%5C%3D14%5Ccdot%20%5C%3A9x%5E2x%5E4yy%5E4-9x%5E2y%5C%5C)
Here taking the term
common, we will get:
![14\cdot \:9x^2x^4yy^4-9x^2y\\=9x^2y\left(14x^4y^4-1\right)\\](https://tex.z-dn.net/?f=14%5Ccdot%20%5C%3A9x%5E2x%5E4yy%5E4-9x%5E2y%5C%5C%3D9x%5E2y%5Cleft%2814x%5E4y%5E4-1%5Cright%29%5C%5C)
So we have the expression:
![6x^4y^3\cdot 21x^2y^2-9x^2y= 9x^2y\left(14x^4y^4-1\right)\\](https://tex.z-dn.net/?f=6x%5E4y%5E3%5Ccdot%2021x%5E2y%5E2-9x%5E2y%3D%209x%5E2y%5Cleft%2814x%5E4y%5E4-1%5Cright%29%5C%5C)
So the GCF or the greatest common factor is
![9x^2y](https://tex.z-dn.net/?f=9x%5E2y)
Answer:
x=1
Step-by-step explanation:
distribute
-4x+16=12
subtract 16 to get x by itself
-4x=-4
divide -4 by -4
x=1
22, each side length is about 15.6. when you use Pythagorean theorem you can get it more accurate. 242 + 242=c^2 which is the side lengths squared anyways. you add to get 484=c^2 so square root and you get 22 units as you r answer!
hope it helps!
Answer:
<h2>0.8</h2>
Step-by-step explanation:
(9-(-3))÷((-1)-(-16)) = 12÷15 = 0.8
:)