Step-by-step explanation:
![A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\](https://tex.z-dn.net/?f=A%20%3D%28125%5E%7B2%7D%20%2B%2025%5E%7B2%7D%20%29%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%20%5B%285%5E%7B3%7D%29%5E%7B2%7D%20%20%2B%20%285%5E%7B2%7D%29%5E%7B2%7D%20%5D%20.%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%20%285%5E%7B6%7D%20%20%2B%205%5E%7B4%7D%20%29.%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%20%5B5%5E%7B4%7D%20.%20%28%205%5E%7B2%7D%20%20%2B%205%29%5D.%285%5E%7B2%7D%20-%201%29%20%5C%5CA%20%3D%205%5E%7B4%7D%20.%20%2825%2B%205%29.%20%285%5E%7B2%7D%20-%201%29%5C%5CA%20%3D%205%5E%7B4%7D%20.%2030.%20%285%5E%7B2%7D%20-%201%29%5C%5C)
Since 30 is divisible by 3
Thus, A is divisible by 3
Good luck!
Answer:
1 / (x² + 6x + 8)
Step-by-step explanation:
(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)
= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)
↑ factor x² + 5x + 6 ↑ factor x² - 16 using difference of squares
= 1 / (x + 2) * 1 / (x - 4) ← x + 4 and x + 3 cancel
= 1 / (x + 2) * (x + 4) ← multiply
= 1 / (x² + 6x + 8) ← expand
Answer:

Step-by-step explanation:
In this question, it appears that you need to solve this equation in terms of x.
Beginning with the equation a = x(1 + bc), we must isolate the 'x' variable and make an equation equivalent to 'x'. This can be done by:
a = x(1 + bc)
Divide (1 + bc) from both sides, giving you:

It's
for <em>n</em> = 1, 2, 3, …