Multiply the fractions and reduce $\frac { x ^ { 2 } - 25 } { 9 x } - \frac { 6 x + 12 } { x ^ { 2 } + 7 x + 10 }$
A) $\frac { 2 ( x + 5 ) } { \frac { 2 } { t } }$
B) $\frac { 2 ( t - 5 ) } { 3 x }$
C) $\frac { ( x + 5 ) ( x - 5 ) \} } { 54 x }$
D) $\frac { - 30 } { 7 x + 2 }$

Question

Quizplus · Accepted Answer

First, simplify each fraction: $\frac{x^2 - 25}{9x} = \frac{(x + 5)(x - 5)}{9x}$ and $\frac{6x + 12}{x^2 + 7x + 10} = \frac{6(x + 2)}{(x + 2)(x + 5)} = \frac{6}{x + 5}$. Subtracting these gives $\frac{(x + 5)(x - 5)}{9x} - \frac{6}{x + 5}$. To find a common denominator and subtract, notice there's a mistake in the question as it asks for multiplication and reduction, but the operation shown is subtraction. However, none of the provided options correctly matches the operation described in the question. Assuming an attempt to simplify the expression, option B seems to be a plausible simplification under different operations, but the given operations and choices do not align correctly with standard mathematical procedures for the described expressions.

Multiply the Fractions and Reduce x2−259x−6x+12x2+7x+10\frac { x ^ { 2 } - 25 } { 9 x } - \frac { 6 x + 12 } { x ^ { 2 } + 7 x + 10 }9xx2−25​−x2+7x+106x+12​

Multiply the Fractions and Reduce $\frac { x ^ { 2 } - 25 } { 9 x } - \frac { 6 x + 12 } { x ^ { 2 } + 7 x + 10 }$