Question 23 on the MAT0020/24C Beginning Algebra State Exam

Simplify a Rational Expression:  Reduce by Factoring

 

 

23.  Simplify:                                                                              

 

A.                     B.                     C.                       D. 

 

 

 

Solution: 

Simplify:             

 

The first step to simplify this expression is if possible factor the numerator and denominator.

 

 

The next step is to simplify by looking for factors that appear in the numerator and denominator that will simplify to 1.

 

 

The solution is: 

 

Practice Problems for Question 23

Simplify a Rational Expression:  Reduce by Factoring

 

1.  Simplify:                                                                                

 

a.                        b.                        c.                        d. 

 

 

 

 

2.  Simplify:                                                                                  

 

a.                        b.                       c.                        d. 

 

 

 

 

3.  Simplify:                                                                              

 

a.                      b.                      c.                      d. 

 

 

 

 

4.  Simplify:                                                                              

 

a.                      b.                      c.                       d. 

 

 

 

 

 

 

 

Solutions:

1.  b                 2.  a                                  3.  c                                    4.  c