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:
Step-by-step explanation:
The solution to this system of equation is (4, 10)
16 gal... 480 mi
1 gal... 480/16 = 30 mi
9 gal.. 30*9 = 270 mi
Answer:
infinite solutions
Step-by-step explanation:
Given
3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides
24m + 15 = 24m + 28 - 13 , that is
24m + 15 = 24m + 15
Since both sides are equal then any real value of x makes the equation true.
Thus there are an infinite number of solutions
The correct answer is p=-8
