Answer:
The correct option is C.
Step-by-step explanation:
The given expression is
[tex](2x-y)^3[/tex]
According to the binomial expansion,
[tex](a+b)^n=^nC_0(a)^nb^0+^nC_2(a)^{n-2}b^2+...+^nC_r(a)^{n-r}b^r+...+^nC_n(a)^0b^n[/tex]
[tex](2x-y)^3=^3C_0(2x)^3y^0+^3C_1(2x)^2y+^3C_2(2x)^1y^2+^3C_3(2x)^0y^3[/tex]
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
[tex](2x-y)^3=8 x^3 - 12 x^2 y + 6 x y^2 - y^3[/tex]
Therefore the correct option is C.
