Could someone help assist with this please?

Question

Multiply or divide as indicated. Be sure to reduce all answers to lowest terms.

 

(2a²-7a+6)/(a²-4) ÷ (6a²-5a-6)/(3a²+8a+4)

Answer 1

Goooooood morning, Candice!!

 

Let's start by flipping the second fraction. We ALWAYS flip the fraction that follows the division symbol b/c it's easier to work with multiplication than dealing with division! 

 

Now we have the problem written as....

 

(2a² - 7a + 6) / (a² - 4)   •   (3a² + 8a + 4) / (6a² - 5a - 6)

 

We can now factor each numerator and denominator.....

 

(2a - 3)(a - 2)          (3a + 2)(a + 2)

----------------    •    --------------------

(a - 2)(a + 2)           (3a + 2)(2a - 3)

 

Reduce where possible and what you will notice is that EVERYTHING reduces.

This means our answer is 1.

 

Don't you just love when this happens?!!! 

 

Have a super day today!!!