Answer:
x^2 - 9 = <u>(x + 3)(x - 3)</u> = (x - 0)^2 - 9.
x^2 - 2x - 15 = <u>(x - 5)(x + 3)</u> = (x - 1)^2 - 16.
I assume you mean factored form?
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:
6/5=x/15
Step-by-step explanation:
6/5=x/15,where x is hight of the lamp post
x=18
Answer:
![x = log_{1.061} \frac{y}{590}](https://tex.z-dn.net/?f=x%20%3D%20%20%20log_%7B1.061%7D%20%5Cfrac%7By%7D%7B590%7D%20)
Step-by-step explanation:
I Hope this helps
Answer: 50.27 m
Step-by-step explanation:
![A=\pi r^2\\A=\pi 4^2\\A=50.27](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%5C%5CA%3D%5Cpi%204%5E2%5C%5CA%3D50.27)
Hope this helped! ;)