Could someone help with this equation?

Question

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

(a²+5a)/(3a) • (4a²⁾/(a²-4a)

Answer 1

Hi Seth,

 

 

Could someone help with this equation?
Multiply or divide as indicated. Be sure to reduce all answers to lowest terms.

(a²+5a)/(3a) • (4a²)/(a²-4a)

 

Factor

 

a(a+5)     4a²

-------  •  --------

3a            a(a-4)

 

In the 1st term the a's can be cancelled

 

(a+5)       4a²
------- • --------
3            a(a-4)

 

In the 2nd term an a can be cancelled

 

(a+5)       4a²
------- • --------
3           (a-4)

 

That's as far as the terms can be reduced

 

4a(a+5)        4a²+20a

---------  =  ------------

3(a-4)             3a-12