Question

Coefficient of x^2 in the expansion of (x-3)^3

Answer 1

`-9`

Explanation:

`(x-3)(x-3)(x-3)`

`(x^2-6x+9)(x-3)`

`x^3-9x^2+27x-27`

Therefore, the coefficient of
`x^2` is
`-9`.

Answer 2

-9

Explanation:

=> (x-3)³

=> (x-3)(x-3)(x-3)

=> (x²-6x+9)(x-3)

=> x³-3x²-6x²+18x+9x-27

=>
`x^3-9x^2+27x-27`

So, the coefficient of x² is -9