Answer:
(5h^2 + 3k)(25h^4 - 15h^2k + 9k^2)
Step-by-step explanation:
So, the formula for the volume(V) of a cube is V = a^3, where "a" is the length of one side. This is because, on a cube, each side/edge is the same length. (Just to clarify)
Now, the side of one cube is 5h^2. If you cube this value, you get (5h^2)^3. That is the volume of this cube.
Do the same with the other. 3k cubed = (3k)^3
Because this is an addition problem, you will be adding the values:
(5h^2)^3 + (3k)^3
To factor, you can use the sum of cubes formula:
a^3 + b^3 = (a + b)(a^2 - 2ab + b^2)
*Make sure you pay attention to the negative sign!
After plugging it all in and simplifying, you should get
(5h^2 + 3k)(25h^4 - 15 h^2k + 9k^2)
Hope I helped!
