Simplify the following:
(a^4 + 4 b^4)/(a^2 - 2 a b + 2 b^2)
A common factor of a^4 + 4 b^4 and a^2 - 2 a b + 2 b^2 is a^2 - 2 a b + 2 b^2, so (a^4 + 4 b^4)/(a^2 - 2 a b + 2 b^2) = ((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2):((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2)
((a^2 + 2 a b + 2 b^2) (a^2 - 2 a b + 2 b^2))/(a^2 - 2 a b + 2 b^2) = (a^2 - 2 a b + 2 b^2)/(a^2 - 2 a b + 2 b^2)×(a^2 + 2 a b + 2 b^2) = a^2 + 2 a b + 2 b^2:
Answer: a^2 + 2 a b + 2 b^2
Answer:
4c -36
Step-by-step explanation:
add all the C's add all the 9's
Answer:
x = 1/4
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
7 + -7x + -8 - 9x + 5
7 - 7x - 8 - 9x + 5
4 - 16x
<u>Step 2: Solve for x</u>
4 - 16x - 4 = 0 - 4
-16x/-16 = -4/-16
x = 4/16
x = 1/4
Answer: x = 1/4
Answer:
Step-by-step explanation:
Find the lowest common multiple between the numbers
35 = 5×7
40 = 2³×5
42 = 2×3×7
So the lowest common multiple is:
2³×3×5×7 =840 minutes
840 minutes is 14 hours so the next time they are all at the interchange is 2020 hours.
Answer:
Option B. 
Step-by-step explanation:
we know that
The volume of a cone is equal to
Solve for the radius r
That means-----> isolate the variable r
Multiply by 3 both sides
Divide by 
both sides
square root both sides
