Answer:
![4x^2-12x+9](https://tex.z-dn.net/?f=4x%5E2-12x%2B9)
Step-by-step explanation:
we have
![(2x-3)^2](https://tex.z-dn.net/?f=%282x-3%29%5E2)
we know that
![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
In this problem
![a=2x\\b=3](https://tex.z-dn.net/?f=a%3D2x%5C%5Cb%3D3)
substitute in the formula
![(2x-3)^2=(2x)^2-2(2x)(3)+(3)^2](https://tex.z-dn.net/?f=%282x-3%29%5E2%3D%282x%29%5E2-2%282x%29%283%29%2B%283%29%5E2)
![(2x-3)^2=4x^2-12x+9](https://tex.z-dn.net/?f=%282x-3%29%5E2%3D4x%5E2-12x%2B9)
Answer:
90
Step-by-step explanation:
for percentage
×100
= 0.9×100
=90
Answer:
![Sales\:\:Price=List\:\:Price-Discount](https://tex.z-dn.net/?f=Sales%5C%3A%5C%3APrice%3DList%5C%3A%5C%3APrice-Discount)
- Sales price= $
List price=L Discount![=19.5\%\:of\:L=0.195L](https://tex.z-dn.net/?f=%3D19.5%5C%25%5C%3Aof%5C%3AL%3D0.195L)
![1167.25=L-0.195L](https://tex.z-dn.net/?f=1167.25%3DL-0.195L)
Step-by-step explanation:
The percentage discount is ![19.5\%](https://tex.z-dn.net/?f=19.5%5C%25)
The discount is always given on the list price.
![Sales\:\:Price=List\:\:Price-Discount](https://tex.z-dn.net/?f=Sales%5C%3A%5C%3APrice%3DList%5C%3A%5C%3APrice-Discount)
Let the list price be L, then
List price=L
Sales price= $![1167.25](https://tex.z-dn.net/?f=1167.25)
Discount![=19.5\%\:of\:L=0.195L](https://tex.z-dn.net/?f=%3D19.5%5C%25%5C%3Aof%5C%3AL%3D0.195L)
We substitute into the equation to get:
![1167.25=L-0.195L](https://tex.z-dn.net/?f=1167.25%3DL-0.195L)
![1167.25=0.805L](https://tex.z-dn.net/?f=1167.25%3D0.805L)
Divide both sides by 0.805
![\frac{1167.25}{0.805}=L](https://tex.z-dn.net/?f=%5Cfrac%7B1167.25%7D%7B0.805%7D%3DL)
![1450=L](https://tex.z-dn.net/?f=1450%3DL)
The list price of the swimming pool is $1450