How do you factor #27 - 125x^3?

1 Answer
Jim G.
Feb 22, 2016

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

Explanation:

This is a #color(blue) " difference of 2 cubes "#

# 27- 125x^3 = 3^3 - (5x)^3 #

To factor : # a^3 - b^3 = (a - b )(a^2 + ab + b^2)#

For this question let a = 3 and b = 5x

#rArr 27-125x^3 = (3-5x)(3^2+ (3xx5x) + (5x)^2 )#

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

Related questions
Impact of this question
783 views around the world
You can reuse this answer
Creative Commons License