What is 125x⁹ + 64y¹² written as a sum of cubes?

Solution:

Given expression is 125x⁹ + 64y¹²

We know 125 is the cube of 5 and 64 is the cube of 4

We can rewrite it as 5³(x³)³ + 4³(y⁴)³

As all the terms have power as 3, we can write them together

(5x³)³ + (4y⁴)³

Therefore, this is the simplified expression in terms of the sum of cubes

What is 125x⁹ + 64y¹² written as a sum of cubes?

Summary:

125x⁹ + 64y¹² written as a sum of cubes as (5x³)³ + (4y⁴)³.