The correct answer is C) (5m^50 - 11n^8) (5m^50 + 11n^8)
We can tell this because of the rule regarding factoring the difference of two perfect squares. When we have two squares being multiplied, we can use the following rule.
a^2 - b^2 = (a - b)(a + b)
In this case, or first term is 25m^100. So we can solve that by setting it equal to a^2.
a^2 = 25m^100 -----> take the square root of both sides
a = 5m^50
Then we can do the same for the b term.
b^2 = 121n^16 ----->take the square root of both sides
b = 11n^8
Now we can use both in the equation already given
(a - b)(a + b)
(5m^50 - 11n^16)(5m^50 + 11n^16)
Answer:
11,880 different ways.
Step-by-step explanation:
We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.
We will use permutations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario 
and 
.
Therefore, offices can be filled in 11,880 different ways.
Answer:
x = 125
Step-by-step explanation:
Given
= 25
Multiply both sides by 5 to clear the fraction
x = 5 × 25 = 125
x = 125
Answer:
d
Step-by-step explanation:
The sun is the primary source because without it there will be nothing like renewable or nonrenewable energy
