Question

The binomial expansion of (2x-y)^3 is _________.

Answer 1

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

Answer 2

The correct option is C.

Explanation:

The given expression is

`(2x-y)^3`

According to the binomial expansion,

`(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`

`(2x-y)^3=^3C_0(2x)^3y^0+^3C_1(2x)^2y+^3C_2(2x)^1y^2+^3C_3(2x)^0y^3`

`^nC_r=(n!)/(r!(n-r)!)`

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

Therefore the correct option is C.