Add or subtract as indicated and simplify if possible. $$\frac { 12 x } { 5 y } - \frac { x + 5 } { 5 y } + \frac { x ^ { 2 } + 2 } { 5 y }$$
A) $\frac { 11 x + x ^ { 2 } + 7 x } { 15 y }$
B) $\frac { x ^ { 2 } + 11 x - 3 } { 5 y }$
C) $\frac { x ^ { 2 } + 11 x - 7 } { 125 y ^ { 3 } }$
D) $\frac { 11 x + 7 + x ^ { 2 } } { 5 y }$

Question

Quizplus · Accepted Answer

Since all terms have the same denominator, you can combine the numerators directly: $12x - (x + 5) + (x^2 + 2) = x^2 + 11x - 3$, resulting in $\frac{x^2 + 11x - 3}{5y}$.

Add or Subtract as Indicated and Simplify If Possible 12x5y−x+55y+x2+25y\frac { 12 x } { 5 y } - \frac { x + 5 } { 5 y } + \frac { x ^ { 2 } + 2 } { 5 y }5y12x​−5yx+5​+5yx2+2​

Add or Subtract as Indicated and Simplify If Possible $\frac { 12 x } { 5 y } - \frac { x + 5 } { 5 y } + \frac { x ^ { 2 } + 2 } { 5 y }$