How do you factor 125x^3-27?

1 Answer
Jim G.
May 9, 2018

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

Explanation:

125x^3-27" is a "color(blue)"difference of cubes"

"and factors in general as"

•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)

125x^3=(5x)^3rArra=5x

27=(3)^3rArrb=3

rArr125x^3-27=(5x-3)((5x)^2+(5x xx3)+3^2)

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

Related questions
See all questions in Special Products of Polynomials
Impact of this question
12815 views around the world
You can reuse this answer
Creative Commons License