Simplify the expression. $\frac { x ^ { 2 } - x - 6 } { x ^ { 2 } + 2 x } \cdot \frac { x ^ { 2 } + x } { x ^ { 2 } - 2 x - 3 }$
A) $\frac { x + 2 } { x ^ { 2 } }$
B) $\frac { x } { 2 - x }$
C) $1$
D) $x$
E) $x ^ { 2 }$

Question

Quizplus · Accepted Answer

The expression simplifies to 1 because the numerator and denominator have a common factor of (x - 3) that cancels out.

Simplify the Expression x2−x−6x2+2x⋅x2+xx2−2x−3\frac { x ^ { 2 } - x - 6 } { x ^ { 2 } + 2 x } \cdot \frac { x ^ { 2 } + x } { x ^ { 2 } - 2 x - 3 }x2+2xx2−x−6​⋅x2−2x−3x2+x​

Simplify the Expression $\frac { x ^ { 2 } - x - 6 } { x ^ { 2 } + 2 x } \cdot \frac { x ^ { 2 } + x } { x ^ { 2 } - 2 x - 3 }$