Express the rational expression in lowest term. If the expression is already lowest term. say so

Question

3k-18/12-2k.                  y2-2y-8/y2+7y+10.

Answer 1

To express the expression in lowest terms, we must factor each part of the expression and cancel where possible.

 

(3k - 18) / (12 - 2k) =

 

[3(k - 6)] / [-2(k - 6)]

 

 

(k - 6)  cancel. We get

 

-3/2

 

 

 

(y² - 2y - 8)( / (y² + 7y + 10) =

 

[(y + 2)(y - 4)] / [(y + 5)(y + 2)]

 

 

(y + 2) cancel.  We get

 

 

(y - 4) / (y + 5)