Factorize 8x3- y3-12x2y+6xy2

(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.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.