Answer:
(x+3)(x-3)
Step-by-step explanation:
x^2 - 9
(x+3)(x-3)
This is a difference of two squares problem. Hope this helped :)
Answer:
work is pictured and shown
Answer:
The sum of its 30 terms is 38167.5
Step-by-step explanation:
Given:
The First term in the AP is -504
The Sum of its 9 terms is -126
To Find:
The sum of its 30 terms = ?
Solution:
The sum of n terms of an AP:
![S_n = (\frac{n}{2} ) [ 2 a_1 + ( n - 1 ) d ]](https://tex.z-dn.net/?f=S_n%20%3D%20%28%5Cfrac%7Bn%7D%7B2%7D%20%29%20%5B%202%20a_1%20%2B%20%28%20n%20-%201%20%29%20d%20%5D)
The sum of 9 terms of an AP:
![S_9 = (\frac{9 }{2} ) [ 2(-504) + ( 9 - 1 )d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%28%5Cfrac%7B9%20%7D%7B2%7D%20%29%20%5B%202%28-504%29%20%2B%20%28%209%20-%201%20%29d%20%5D)
![S_9 = (4.5 )[ 2 (-504)+ ( 8 ) d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%284.5%20%29%5B%202%20%28-504%29%2B%20%28%208%20%29%20d%20%5D)

(-4536) +36d = -126
36 d = -126+4536
36 d= 4410

d = 122.5
The sum of its 30 terms is
![S_{30} = ( \frac{30 }{2 }) [ 2 (-504) + ( 30-1)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%28%20%5Cfrac%7B30%20%7D%7B2%20%7D%29%20%5B%202%20%28-504%29%20%2B%20%28%2030-1%29%28122.5%29%20%5D)
![S_{30} =(15) [ 2 (-504) + ( 29)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%2815%29%20%5B%202%20%28-504%29%20%2B%20%28%2029%29%28122.5%29%20%5D)
![S_{30} = [ 2 (-504)(15) + ( 29)(122.5)(15) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%202%20%28-504%29%2815%29%20%2B%20%28%2029%29%28122.5%29%2815%29%20%5D)
![S_{30} = [ -15120 + 53287.5 ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%20-15120%20%2B%2053287.5%20%5D)

4: im not sure how to solve this or how to get the answer
5:
Distribute the Negative Sign:
= 3x^2+2x−3+−1(4x^2−8x+23)
= 3x^2+2x+−3+−1(4x^2)+−1(−8x)+(−1)(23)
= 3x^2+2x+−3+−4x^2+8x+−23
Combine Like Terms:
= 3x^2+2x+−3+−4x^2+8x+−23
= (3x^2+−4x^2)+(2x+8x)+(−3+−23)
= −x^2+10x+−26
Answer:
−x^2+10x−26
6: Distribute the Negative Sign:
= −13n^2−3n−6n^4+−1(13n^2+11n−2n^4)
= −13n^2+−3n+−6n^4+−1(13n^2)+−1(11n)+−1(−2n^4)
= −13n^2+−3n+−6n^4+−13n^2+−11n+2n^4
Combine Like Terms:
= −13n^2+−3n+−6n^4+−13n^2+−11n+2n^4
= (−6n^4+2n^4)+(−13n^2+−13n^2)+(−3n+−11n)
= −4n^4+−26n^2+−14n
Answer:
=−4n^4−26n^2−14n
7: and in math means to add
Combine Like Terms:
=4y^3+−8y+−y^3+5
=(4y^3+−y^3)+(−8y)+(5)
=3y^3+−8y+5
Answer:
=3y^3−8y+5
8: Answer choice 3
−5x^2+5x−2
9: answer is −8y
i had this in my notes from a while ago on my laptop so please see the image on how to solve this!
i hope this helps a lot!
41 time 11 =431 plus 3 =434