How do you factor #64x^3+8=0#?
1 Answer
Mar 7, 2016
Explanation:
This is a sum of cubes, since both
Differences of cubes factor as follows:
#a^3+b^3=(a+b)(a^2-ab+b^2)#
In
#64x^3+8=0#
#(4x+2)((4x)^2-4x(2)+(2)^2)=0#
#(4x+2)(16x^2-8x+4)=0#
#8(2x+1)(4x^2-2x+1)=0#