Add or subtract as indicated and simplify if possible.
-$$\frac { 3 w } { w - 3 } + \frac { 2 w + 3 } { 3 - w }$$
A) 1
B) $- 1$
C) $\frac { w + 3 } { w - 3 }$
D) $\frac { 5 w - 3 } { 3 - w }$

Question

Quizplus · Accepted Answer

The given expression can be simplified by noticing that the denominators are opposites ($w - 3$ and $3 - w$). Multiplying the numerator and denominator of the second fraction by $-1$ to get the same denominator as the first fraction gives us $\frac{3w}{w-3} - \frac{2w+3}{w-3}$. Adding these fractions together, we get $\frac{3w - (2w+3)}{w-3} = \frac{3w - 2w - 3}{w-3} = \frac{w - 3}{w - 3} = 1$.

Add or Subtract as Indicated and Simplify If Possible 3ww−3+2w+33−w\frac { 3 w } { w - 3 } + \frac { 2 w + 3 } { 3 - w }w−33w​+3−w2w+3​

Add or Subtract as Indicated and Simplify If Possible $\frac { 3 w } { w - 3 } + \frac { 2 w + 3 } { 3 - w }$