What is the cube of the sun of a and b

Let's tackle this problem visually: geometrically, the "cube" of any number can be interpreted as the volume of a cube with that number as its edge lengths (i.e. "3 cubed" is the volume of a cube with edges of length 3, and would have a volume of 3³ = 27). With that in mind, the cube of a + b would similarly be the volume of a cube with side lengths of a + b.

We can then break the larger cube down into parts to find the following pieces:

Adding all of these volumes together, we find that

(a + b)³ = a³ + 3a²b + 3b²a + b³

(Image source: math.brown.edu)

(The p and q in the image represent a and b in this problem)

i need a picure

step-by-step explanation: