How do i factor this problem completely?

216x^3 - y^3

1 answer

recall that a^3-b^3 = (a-b)(a^2+ab+b^2)
You have

(6x)^3 - y^3
= (6x-y)((6x)^2 + (6x)y + y^2)
= (6x-y)(36x^2 + 6xy + y^2)
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