Question

Show that

Answer 1

Show
\[\frac{-9 x-16}{x^2+6 x+10}=\frac{11}{x^2+6 x+10}-\frac{9 (2 x+6)}{2 \left(x^2+6 x+10\right)}\]

Answer 2

I'm not entirely sure I understand why you'd need to do this, so I might not be approaching it the way your teacher wants.

I'd start by looking at the right side of the equation and multiply by 2/2 so that I could combine both fractions in the numerator. From there I'd take it out as regular algebra... But this really is the chemistry section maybe that's why I'm confused...