Answer:
The answer is (5x - 3) (25x² + 15x + 9)
Step-by-step explanation:
125x³ - 27
5 × 5 × 5 × x × x × x - 3 × 3 × 3
Rewrite 125x³ as (5x)³.
(5x)³ - 27
Rewrite 27 as (3)³.
(5x)³ - (3)³
Here, Both terms are perfect cubes, factor using the difference of cube formula,
a³ - b³ = (a - b) (a² + ab + b²)
where,
a = 5x
b = 3
Now,
(5x - 3) [(5x)² + (5x)(3) + (3)²]
Now, Simplify
(5x - 3) (25x² + 15x + 9)
Thus, The answer is (5x - 3) (25x² + 15x + 9)
-TheUnknownScientist 72
