Divide Rational Expressions
-$$\frac { ( x + 3 ) ^ { 2 } } { x - 3 } \div \frac { x ^ { 2 } - 9 } { 3 x - 9 }$$

Question

Quizplus · Accepted Answer

To divide rational expressions, multiply the first expression by the reciprocal of the second. The given expression simplifies as follows: $$\frac { ( x + 3 ) ^ { 2 } } { x - 3 } \times \frac { 3 x - 9 } { x ^ { 2 } - 9 }$$. Factor $x^2 - 9$ as $(x + 3)(x - 3)$ and $3x - 9$ as $3(x - 3)$. This simplifies to $\frac { ( x + 3 ) ^ { 2 } } { x - 3 } \times \frac { 3 } { (x + 3)(x - 3) }$, which further simplifies to $\frac { 3 ( x + 3 ) } { x - 3 }$ after canceling out a $(x + 3)$ term.

Divide Rational Expressions - (x+3)2x−3÷x2−93x−9\frac { ( x + 3 ) ^ { 2 } } { x - 3 } \div \frac { x ^ { 2 } - 9 } { 3 x - 9 }x−3(x+3)2​÷3x−9x2−9​

Divide Rational Expressions
- $\frac { ( x + 3 ) ^ { 2 } } { x - 3 } \div \frac { x ^ { 2 } - 9 } { 3 x - 9 }$