Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.
![\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2](https://tex.z-dn.net/?f=%5Ctext%7B%20%28a%2Bb%29%7D%5E2%5Ctext%7B%20%3D%20%7Da%5E2%5Ctext%7B%20%2B%202ab%20%2B%20%7Db%5E2)
We get,
![\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2](https://tex.z-dn.net/?f=%5Cmleft%28y%2B5%5Cmright%29%5E2%3D%28y%29%5E2%2B2%28y%29%285%29%2B%285%29%5E2)
![(y+5)^2=y^2+10y+25](https://tex.z-dn.net/?f=%28y%2B5%29%5E2%3Dy%5E2%2B10y%2B25)
b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.
![(a+b)(a-b)=a^2-b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%28a-b%29%3Da%5E2-b%5E2)
We get,
![\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2](https://tex.z-dn.net/?f=%5Cmleft%28y-5%5Cmright%29%5Cmleft%28y%2B5%5Cmright%29%3D%28y%29%5E2-%285%29%5E2)
Answer:
Its c
Step-by-step explanation:
Answer:
they drink 1 gallon every 6 days, 2 gallons in 12 days. You never specified what rate you wanted the answer in so the answer could vary.
Step-by-step explanation:
The equation which represents the number of pages Ben reads per minute is p = 0.75m
Given:
6 pages of a book in 8 minutes
9 pages in 12 minutes
30 pages in 40 minutes
Number of minutes = m
Number of pages = p
Pages per minute = 6 pages ÷ 8 minutes
= 6/8
= 0.75 pages per minute
The equation:
p = 0.75m
Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m
Learn more about ratio:
brainly.com/question/16981404