Your answer should be C. ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
C −2a^3+9a^2+45a+6ab^2+18b^2
Step-by-step explanation:
(a+3) ( −2a^2+15a+6b^2)
Distribute the a to the large term in parentheses and the 3 to the large term in parentheses
a ( −2a^2+15a+6b^2)+3 ( −2a^2+15a+6b^2)
−2a^3+15a^2+6ab^2 −6a^2+45a+18b^2
Combine like terms
−2a^3+15a^2−6a^2+6ab^2 +45a+18b^2
-2 a^3 + 9 a^2 + 6 a b^2 + 45 a + 18 b^2
There are multiple ways to do this.
The easiest is to just continuously subtract 7 from 65 the numbers of times needed.
But most math teachers will have you use the equation ar^n-1 where a= the first term (65), r=ratio (-7), and n=the term you need (second, fifth, and ninth).
So to solve you just plug your values in as so
AR^n-1
(65)(-7)^2-1(65)(-7)^5-1
(65)(-7)^9-1
Answer:
Step-by-step explanation: :)
Answer:
Step-by-step explanation:
volume of sphere = (4/3)πr³
Difference= [(4/3)*π*6³]-[(4/3)*π*3³]
![=\pi*[(\frac{4}{3}*6*6*6) - (\frac{4}{3}*3*3*3)]\\\\=\pi*[(4*2*6*6)-(4*3*3)]\\\\=\pi *[288-36]\\\\=252\pi](https://tex.z-dn.net/?f=%3D%5Cpi%2A%5B%28%5Cfrac%7B4%7D%7B3%7D%2A6%2A6%2A6%29%20-%20%28%5Cfrac%7B4%7D%7B3%7D%2A3%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%2A%5B%284%2A2%2A6%2A6%29-%284%2A3%2A3%29%5D%5C%5C%5C%5C%3D%5Cpi%20%2A%5B288-36%5D%5C%5C%5C%5C%3D252%5Cpi)