How do you factor 125x3−27?
1 Answer
May 9, 2018
Explanation:
125x3−27 is a difference of cubes
and factors in general as
∙xa3−b3=(a−b)(a2+ab+b2)
125x3=(5x)3⇒a=5x
27=(3)3⇒b=3
⇒125x3−27=(5x−3)((5x)2+(5x×3)+32)
×××××=(5x−3)(25x2+15x+9)