simplify precal 20

Question

a) a²-a-12      a²-4a+3

                 *                 

      a²-9           a²-4a

Answer 1

First, we factor each term of the expression.

 

[(a - 4)(a + 3) / (a + 3)(a - 3)] * [(a - 3)(a - 4) / (a(a - 4))] =

 

 

Next, we can cancel out terms. 

 

 

[(a - 4) / (a - 3)] * [(a - 3) / a] =

 

 

(a - 4) / a