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:
A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2
OR
8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared
B. 8 1/4 * 14 1/2 * 14=1674 3/4
OR
8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared
Step-by-step explanation:
Step-by-step explanation:
The equation is y = -x - 4.
Answer:
24 pounds
Step-by-step explanation:
let Andy's bike be x pounds then Barry's bike is x + 6 ( 6 pounds more )
The total weight of their bikes is 42, hence
x + x + 6 = 42
2x + 6 = 42 ( subtract 6 from both sides of the equation )
2x = 36 ( divide both sides by 2 )
x = 18
Hence Barry's bike weighs x + 6 = 18 + 6 = 24