List four equivalent forms for the rational expression.
- $- \frac { x - 2 } { x + 7 }$
A) $\frac { - ( x - 2 ) } { x + 7 } , \frac { - x + 2 } { x - 7 } , \frac { x - 2 } { - ( x - 7 ) } , \frac { x - 2 } { - x - 7 }$
B) $\frac { - ( x + 2 ) } { x + 7 } , \frac { - x + 2 } { x + 7 } , \frac { x + 2 } { - ( x + 7 ) } , \frac { x - 2 } { - x - 7 }$
C) $\frac { - ( x - 2 ) } { x - 7 } , \frac { - x + 2 } { x + 7 } , \frac { x - 2 } { - ( x - 7 ) } , \frac { x - 2 } { - x - 7 }$
D) $\frac { - ( x - 2 ) } { x + 7 } , \frac { - x + 2 } { x + 7 } , \frac { x - 2 } { - ( x + 7 ) } , \frac { x - 2 } { - x - 7 }$

Question

List four equivalent forms for the rational expression.
-  $- \frac { x - 2 } { x + 7 }$
A) $\frac { - ( x - 2 ) } { x + 7 } , \frac { - x + 2 } { x - 7 } , \frac { x - 2 } { - ( x - 7 ) } , \frac { x - 2 } { - x - 7 }$
B) $\frac { - ( x + 2 ) } { x + 7 } , \frac { - x + 2 } { x + 7 } , \frac { x + 2 } { - ( x + 7 ) } , \frac { x - 2 } { - x - 7 }$
C) $\frac { - ( x - 2 ) } { x - 7 } , \frac { - x + 2 } { x + 7 } , \frac { x - 2 } { - ( x - 7 ) } , \frac { x - 2 } { - x - 7 }$
D) $\frac { - ( x - 2 ) } { x + 7 } , \frac { - x + 2 } { x + 7 } , \frac { x - 2 } { - ( x + 7 ) } , \frac { x - 2 } { - x - 7 }$

Quizplus · Accepted Answer

Each expression in option D is a variation of the original expression $- \frac { x - 2 } { x + 7 }$ through the application of distributive property and the concept that multiplying or dividing both numerator and denominator by -1 does not change the value of the expression.

List Four Equivalent Forms for the Rational Expression −x−2x+7- \frac { x - 2 } { x + 7 }−x+7x−2​

List Four Equivalent Forms for the Rational Expression $- \frac { x - 2 } { x + 7 }$