Question

Factor the polynomial

Answer 1

(3x + 5)(9x² - 15x + 25)

Explanation:

This is given in the form : a³ + b³

Identity :

• a³ + b³ = (a + b)(a² - ab + b²)

Solving :

• 27x³ + 125
• (3x)³ + (5)³
• (3x + 5)(9x² - 15x + 25)

Answer 2

(3x + 5)(9x^2 - 15x + 25)

Explanation:

27x^3 + 125

= (3x)^3 + 5^3

= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)

= (3x + 5)(9x^2 - 15x + 25)

FYI: a³ + b³ = (a + b)(a² – ab + b²)