Factorize 216x^3 + 64y^3

8 (3x+2y) (9x^2 - 6xy + 4y^2)

Step-by-step explanation:

216x^3 + 64y^3

Factor out the greatest common factor of 8

8 (27x^3 + 8y^3)

Rewriting

8 ((3x) ^3 + (2y) ^2))

Recognizing this as the difference of cubes)

a^3 + b^3 = (a+b) (a^2-ab+b^2)

8 ((3x) ^3 + (2y) ^2)) = 8 (3x+2y) (9x^2 - (3x) (2y) + 4y^2)

=8 (3x+2y) (9x^2 - 6xy + 4y^2)