### Home > AC > Chapter 12 > Lesson 12.1.3 > Problem12-25

12-25.

1. $\frac { 2 x } { 3 x ^ { 2 } + 16 x + 5 } + \frac { 10 } { 3 x ^ { 2 } + 16 x + 5 }$

1. $\frac { x ^ { 2 } - x - 12 } { 3 x ^ { 2 } - 11 x - 4 } \cdot \frac { 3 x ^ { 2 } - 20 x - 7 } { x ^ { 2 } - 9 }$

1. $\frac { 2 x ^ { 2 } + 8 x - 10 } { 2 x ^ { 2 } + 15 x + 25 } \div \frac { 4 x ^ { 2 } + 20 x - 24 } { 2 x ^ { 2 } + x - 10 }$

1. $\frac { 16 x - 12 } { 4 x ^ { 2 } + 5 x - 6 } - \frac { 3 } { x + 2 }$

Add the numerators and reduce. Factor and find any $1$s.

Factor the expressions.
Reduce by looking for factors in the numerator and denominator that make $1$.

$\frac { x - 7 } { x - 3 }$

Factor each expression. Look for $1$s.

$4 x ^ { 2 } + 5 x - 6 = ( x + 2 ) ( 4 x - 3 )$