Simplify the rational expression. (Assume the denominator is nonzero.)
-$$\frac { ( x + 2 ) ( x - 3 ) } { ( x - 3 ) ( x + 9 ) }$$
A) $\frac { x - 2 } { x - 9 }$

B) $\frac { x + 2 } { x + 9 }$

C) $\frac { 2 x - 3 } { 2 x + 6 }$

D) $\frac { x - 9 } { x - 2 }$

Question

Simplify the rational expression. (Assume the denominator is nonzero.)
-$$\frac { ( x + 2 ) ( x - 3 ) } { ( x - 3 ) ( x + 9 ) }$$
A) $\frac { x - 2 } { x - 9 }$

B) $\frac { x + 2 } { x + 9 }$

C) $\frac { 2 x - 3 } { 2 x + 6 }$

D) $\frac { x - 9 } { x - 2 }$

Quizplus · Accepted Answer

We can simplify the expression by canceling out the common factor of $(x-3)$ in both the numerator and denominator. This leaves us with $\frac{x+2}{x+9}$. Therefore, the best choice is B.

Simplify the Rational Expression (x+2)(x−3)(x−3)(x+9)\frac { ( x + 2 ) ( x - 3 ) } { ( x - 3 ) ( x + 9 ) }(x−3)(x+9)(x+2)(x−3)​

Simplify the Rational Expression $\frac { ( x + 2 ) ( x - 3 ) } { ( x - 3 ) ( x + 9 ) }$