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QUESTION
How do you use the difference of two cubes formula to factor ##x^6-y^3##?
##x^6 - y^3 = (x^2)^3 - y^3##
The Difference of Cubes Formula says
##color(blue)(a^3 - b^3 = (a-b)(a^2 +ab+b^2)##
Hence ##(x^2)^3 - y^3 = (x^2 - y)((x^2)^2 +x^2y +y^2)##
## =color(green)( (x^2 - y)(x^4 +x^2y + y^2)##
