The equation into the form of a sum of cubes is [tex]\rm (4x^2)^3 + 3^3[/tex].
Perfect cubes are the numbers that are the triple product of the same number.
We have to determine
What is [tex]\rm 64x^6 + 27[/tex] written as a sum of cubes?
To write the equation into a sum of cubes following all the steps given below.
Then,
The equation into a sum of cubes is;
[tex]\rm= 64x^6 + 27\\\\= 4^3(x^2)^3+3^3\\\\=(4x^2)^3 + 3^3[/tex]
Hence, the equation into the form of a sum of cubes is [tex]\rm (4x^2)^3 + 3^3[/tex].
To know more about perfect cubes click the link given below.
brainly.com/question/4701925