Question

6n^3-16n^2 \15n^2-40n how do you simplify this rational expression ?

Answer 1

Answer:

Step-by-step explanation:

Final result :

 2n

 ——

 5

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 

Step  2  :

Equation at the end of step  2  :

 

Step  3  :

Equation at the end of step  3  :

 

Step  4  :

           6n3 - 16n2

Simplify   ——————————

           15n2 - 40n

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  6n3 - 16n2  =   2n2 • (3n - 8)

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  15n2 - 40n  =   5n • (3n - 8)

Canceling Out :

6.2    Cancel out  (3n - 8)  which appears on both sides of the fraction line.

Dividing exponential expressions :

6.3    n2 divided by n1 = n(2 - 1) = n1 = n

Final result :

 2n

 ——

 5