How do you factor 125x^3-27?
1 Answer
May 9, 2018
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)