Question

125x^3-27 factor polynomials

Answer 1

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