## anonymous one year ago Which of the following is a simplified expression equal to (comment section), for all x< -3

1. anonymous

$\frac{ 9-x ^{2} }{ x-3 }$

2. anonymous

You can factor the numerator as a difference of squares then cancel 9 - x² = (3 - x)(3 + x)

3. anonymous

and then (3 - x) is the same as -(x - 3)

4. anonymous

$\frac{ (3-x) (3+x)}{ (x-3) }=\frac{ -(x-3)(3+x) }{ (x-3) }$

5. anonymous

=-(3+x)=-3-x