Divide Rational Expressions
-$$\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 15 x + 54 } \div \frac { x ^ { 2 } + 4 x } { x ^ { 2 } + 4 x - 45 }$$

Question

Quizplus · Accepted Answer

The correct answer is A because:$\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 15 x + 54 } \div \frac { x ^ { 2 } + 4 x } { x ^ { 2 } + 4 x - 45 } = \frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 15 x + 54 } \times \frac { x ^ { 2 } + 4 x - 45 } { x ^ { 2 } + 4 x } $$= \frac { ( x + 6 ) ( x + 4 ) } { ( x + 9 ) ( x + 6 ) } \times \frac { ( x + 9 ) ( x - 5 ) } { x ( x + 4 ) } $$= \frac { x - 5 } { x }$

Divide Rational Expressions - x2+10x+24x2+15x+54÷x2+4xx2+4x−45\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 15 x + 54 } \div \frac { x ^ { 2 } + 4 x } { x ^ { 2 } + 4 x - 45 }x2+15x+54x2+10x+24​÷x2+4x−45x2+4x​

Divide Rational Expressions
- $\frac { x ^ { 2 } + 10 x + 24 } { x ^ { 2 } + 15 x + 54 } \div \frac { x ^ { 2 } + 4 x } { x ^ { 2 } + 4 x - 45 }$