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Select the correct answer.

 

Which expression is equivalent to (x + 3)/(x^2 - 2x - 3) divided by (x^2 + 2x - 3)/(x + 1) if no denominator equals zero?

 

 Mar 20, 2021
 #1
avatar+117633 
+1

(x + 3)  / ( x^2  - 2x - 3)    ÷    (x^2 + 2x  -3)  / (x + 1)

 

Easiest  to  factor, first

 

(x + 3) / [ ( x - 3) (  x + 1)]    ÷ [ ( x + 3) ( x - 1) ]/ ( x + 1)     invert  the second expression and  multiply

 

(x +3) /[ (x -3) ( x + 1) ] * ( x + 1)  /[ ( x + 3) ( x - 1) ]     and we  can write

 

(x + 3) ( x + 1)

________________________   =

(x - 3) ( x + 1) (x + 3) ( x - 1)

 

                1                                                  1

  __________________  =           ________________

    (x - 3)    ( x - 1)                            x^2  - 4x  +   3

 

 

cool cool cool

 Mar 20, 2021

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