Simplify the complex fraction.
-$$\frac { \frac { 12 } { x + h } - \frac { 12 } { x } } { h }$$
A) $- \frac { 12 } { x ( x + h ) }$
B) $\frac { 12 } { x ( x + h ) }$
C) $\frac { 1 } { x + h }$
D) $- \frac { 1 } { x + h }$

Question

Quizplus · Accepted Answer

To simplify the given complex fraction, first find a common denominator for the fractions in the numerator, which is $x(x + h)$. This gives $\frac{12x - 12(x + h)}{x(x + h)h}$. Simplifying the numerator gives $-12h$, so the fraction simplifies to $-\frac{12}{x(x + h)}$.

Simplify the Complex Fraction 12x+h−12xh\frac { \frac { 12 } { x + h } - \frac { 12 } { x } } { h }hx+h12​−x12​​

Simplify the Complex Fraction $\frac { \frac { 12 } { x + h } - \frac { 12 } { x } } { h }$