1.

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»

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)


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