Algebra-2

To factor the expression , we can recognize that it is a difference of cubes.

Step 1: Identify the cubes

We can express both terms as cubes:

, so

, so

 

Thus, we can rewrite the expression as:

 

Step 2: Apply the difference of cubes formula

The difference of cubes can be factored using the formula:

In our case:

(a = 3x)

(b = 8y)

 

Step 3: Apply the formula

Now we can substitute (a) and (b) into the difference of cubes formula:

First factor:

a - b = 3x - 8y

 

Second factor:

We need to compute

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