Question

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

Answer 1

Answer:

$-9$

Step-by-step 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

Answer:

-9

Step-by-step 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