SOLUTION: Please help! Perform the indicated operation. n squared +5n+4 / 2n squared+2n TIMES n squared -n-12 / n squared-16 3pq cubed / 5 DIVIDED BY 9p squared q squared

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help! Perform the indicated operation. n squared +5n+4 / 2n squared+2n TIMES n squared -n-12 / n squared-16 3pq cubed / 5 DIVIDED BY 9p squared q squared       Log On


   

Question 117326: Please help!
Perform the indicated operation.

n squared +5n+4 / 2n squared+2n TIMES n squared -n-12 / n squared-16


3pq cubed / 5 DIVIDED BY 9p squared q squared / 10
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the indicated operation.
n squared +5n+4 / 2n squared+2n TIMES n squared -n-12 / n squared-16
%28%28n%5E2%2B5n%2B4%29%29%2F%28%282n%5E2%2B2n%29%29 * %28%28n%5E2-n-12%29%29%2F%28%28n%5E2-16%29%29
:
Factor:
%28%28n%2B4%29%28n%2B1%29%29%2F%282n%28n%2B1%29%29 * %28%28n-4%29%28n%2B3%29%29%2F%28%28n-4%29%28n%2B4%29%29
:
You can cancel (n+4),(n+1) and (n-4)
1%2F%282n%29 * %28n%2B3%29 = %28%28n%2B3%29%29%2F%282n%29
:
:
3pq cubed / 5 DIVIDED BY 9p squared q squared / 10
3pq%5E3%2F5
---------
9p%5E2q%5E2%2F10
:
Remember when you divide fractions, you invert the dividing fraction & Multiply
3pq%5E3%2F5 * 10%2F%289p%5E2q%5E2%29
:
Cancel 3 into 9, 5 into 10, p into p^2 and q^2 into q^3, results
q+%2A+%282%2F3p%29 = %282q%29%2F%283p%29
:
Did this make sense to you, any questions?