SOLUTION: Please help me divide these and put the answers in simplest form: 1.) {{{(9x^2y)/(5)}}} ÷ {{{(3xy^2)/(20)}}} 2.) {{{(21)/(a+6)}}} ÷ {{{(14)/(a^2-36)}}} 3.) {{{(n^4-4n^3+n-

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me divide these and put the answers in simplest form: 1.) {{{(9x^2y)/(5)}}} ÷ {{{(3xy^2)/(20)}}} 2.) {{{(21)/(a+6)}}} ÷ {{{(14)/(a^2-36)}}} 3.) {{{(n^4-4n^3+n-      Log On


   

Question 696858: Please help me divide these and put the answers in simplest form:
1.) %289x%5E2y%29%2F%285%29 ÷ %283xy%5E2%29%2F%2820%29
2.) %2821%29%2F%28a%2B6%29 ÷ %2814%29%2F%28a%5E2-36%29
3.) %28n%5E4-4n%5E3%2Bn-4%29%2F%28n-4%29
4.) %286a%5E3%2B19a%5E2%2B8a-5%29%2F%283a-1%29

Answer by mathbird(71) About Me  (Show Source):
You can put this solution on YOUR website!
1)9x^2y/5÷3xy^2/20
9x^2y/5* 20/3xy^2
12x/y
2)21/a+6 ÷ 14/a^2-36
a^2-36=(a+6)(a-6)
21/a+6 * (a-6)(a+6)/14
3(a-6)/2
3)%28n%5E4-4n%5E3%2Bn-4%29%2F%28n-4%29
{n^3(n-4)+1(n-4)}/(n-4)
{(n^3+1)(n-4)}/(n-4)
n^3+1
4)%286a%5E3%2B19a%5E2%2B8a-5%29%2F%283a-1%29

2a^2+7a+5
3a-1√(6a^3+19a^2+8a-5)
±6a^3 ∓2a^2
___________________
21a^2+8a
±21a^2∓7a
_________________________
15a-5
±15a∓5
____________________________
0
hence ans is 2a^2+7a+5