Simplify the following rational expression. $\frac { 7 x - 8 } { x + 11 } - \frac { 11 x + 15 } { x + 11 }$
A) $- \frac { 18 x + 7 } { x + 11 }$
B) $\frac { 18 x + 7 } { x + 11 }$
C) $\frac { 18 x - 23 } { x + 11 }$
D) $- \frac { 4 x - 7 } { x + 11 }$
E) $- \frac { 4 x + 23 } { x + 11 }$

Question

Quizplus · Accepted Answer

Since both fractions have the same denominator, you can combine them by subtracting their numerators: $ (7x - 8) - (11x + 15) = -4x - 23 $, thus the simplified expression is $- \frac { 4 x + 23 } { x + 11 }$.

Simplify the Following Rational Expression 7x−8x+11−11x+15x+11\frac { 7 x - 8 } { x + 11 } - \frac { 11 x + 15 } { x + 11 }x+117x−8​−x+1111x+15​

Simplify the Following Rational Expression $\frac { 7 x - 8 } { x + 11 } - \frac { 11 x + 15 } { x + 11 }$