How do you factor #27x^3 - 8#?
1 Answer
Mar 29, 2018
Explanation:
#27x^3-8" is a "color(blue)"difference of cubes"#
#•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)#
#"here "a=3xto(3x)^3=27x^3#
#"and "b=2to(2)^3=8#
#rArr27x^3-8=(3x-2)(9x^2+6x+4)#
