Question

8x^3 - (2x -y)^3 factories the polynomial

Answer 1

using identity = (a-b) ^3

8x^3 - [(2x) ^3 - (y)^3 - 3(2x) (y) (2x-y) ]

8x^3 -[(8x^3 - y^3 -6xy (2x-y) ]

8x^3 - ( 8x^3 - y^3 -12x^2 y+ 6xy^2)

now,

8x^3 - 8x^3 + y^3 + 12x^2y - 6xy^2

final answer= y^3 + 12x^2y - 6xy^2