Precalculus help answer asap simplify

Question

simplify

 

(x²-4)/(x^2-4x) ÷ (x²+x-6)/(x²+x-20)

 

Thanks

 

 

Answer 1

        X ²- 4             X² + X - 20
=   --------------  *  ---------------

      X² 2 - 4X           X² + X - 6

 

 

= (x-2) (x+2)        (x+5)  (x-4)

   ---------------  *  ----------------

        x (x-4)           (x+3) (x-2)

 

 

= (x+2) (x+5)

   ----------------

         x (x+3)

Answer 2

Hi Josh..Lets give this a try....

 

 

                                              X^2-4 /     X^2+X-6

                                             ______       _________

                                              X^2-4X       X^+X-20

 

 

                                       =     (X+2) (X-2)      / (X-3) (X+2)

                                              __________       _________

                                                X(X-4)             (X+3) (X-2)

 

 

                                                  = (X+2)  (X+5)

                                                     ___________

                                                        X(X+3)                                                                                                                       

 

    

1. Turn the 2nd fraction (divisor)  upside down

 

2. Change the divide sign  to multiply sign and multiply the fractions.

 

 

Hope this was clear....