Question

A cube with side length 5h^2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form?

Answer 1

The first one : 

(5h²)³ 

The second one: 

(3k)³ 

Add them together: 

(5h²)³ + (3k)³ 

Since you now have the sum of two cubes, you can factor it as: 

x³ + y³ = (x + y)(x² - xy + y²) 

Substitute 5h² for x and 3k for y to get: 

(5h² + 3k)((5h²)² - 5h(3k) + (3k)²)