Verified Answer :

factor out the -3
(-3)(x^2-2x+3)

Answer:

\(-3(x^2-2x+3)\)

Step-by-step explanation:

The given expression is

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

The GCF of the expression is -3.

\(-3(x^2-2x+3)\)

Now, let us see if we can further factor the expression  \((x^2-2x+3)\) or not

the middle term is -2x

And we can't write the factor of 3 which gives -2 on addition/subtraction and 3 on multiplication

Hence, it is a prime expression.

Therefore, the factored form is

\(-3(x^2-2x+3)\)