The given expression is:

\[
(3x + 4y)^3 + (3x - 4y)^3
\]

We can use the identity for the sum of cubes:

\[
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
\]

Here, let \( a = 3x + 4y \) and \( b = 3x - 4y \).

### Step 1: Apply the sum of cubes identity
\[
(3x + 4y)^3 + (3x - 4y)^3 = \left

Learn how to simplify the expression (3x + 4y)^3 + (3x - 4y)^3 using the sum of cubes formula. This problem involves algebraic manipulation of polynomials and is suitable for students in Grades 10-12.

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