Answer:
Step-by-step explanation:
(a³ - b³) = (a - b) (a² + ab + b²)
27x³ - 64 = 3³x³ - 4³
= (3x)³ - 4³ {a = 3x & b= 4)
Substitute in the above formula.
= (3x -4)([3x]² + 3x*4 + 4²)
= (3x - 4)(9x² + 12x + 16)
The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).
