Answer:
(2x - y)^3.
Step-by-step explanation:
8x^3 - y^3 - 12x^2y + 6xy^2
Looks like this is a perfect cube with first term = cube root of 8x^3 and the last term = cube root of - y^3. That is (2x - y)^3.
Let's expand it:
(2x - y)^3
= (2x - y)(2x - y)^2
= (2x - y)(4x^2 - 4xy + y^2)
= 8x^3 - 8x^2y + 2xy^2 - 4x^2y + 4xy^2 - y^3
= 8x^3 - 12x^2y + 6xy^2 - y^3 which is the given expression.
