# 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##

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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)##

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