The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
Answer:
The 3rd side of the rug is 2 ft long
Step-by-step explanation:
6+6=12
14-12=2
2 ft long
Answer:
see below
Step-by-step explanation:
The recursive function tells you the first term is 1. That is the meaning of ...
It also tells you that to find the next term, you multiply this term by 1/2:
And, to find the next term, you multiply this term by 1/2:
Then the first three terms are ...
1, 1/2, 1/4
The positive x axis in polar coordinates is called a pole