SOLUTION: Divide and simplify (x^2+8x+15)/(x+5)÷(x^2-9)/(7x-21)

Algebra.Com
Question 315598: Divide and simplify (x^2+8x+15)/(x+5)÷(x^2-9)/(7x-21)
Answer by unlockmath(1688)   (Show Source): You can put this solution on YOUR website!
Hello,
This one can be factored (x^2+8x+15)/(x+5)÷(x^2-9)/(7x-21) as:
(x+3)(x+5)/(x+5)÷(x-3)(x+3)/7(x-3)
Now in dividing fractions we flip the second fraction and multiply to get:
(x+3)(x+5)/(x+5)times 7(x-3)/(x-3)(x+3)
Then we can cancel leaving us with:
7 is the answer
Make sense?
RJ
www.math-unlock.com

RELATED QUESTIONS

Divide and Simplify: 2x^2+11x+12/x^2-7x+10 divided by... (answered by ankor@dixie-net.com)
Divide and Simplify 2x^2+11x+12/x^2-7x+10 divided by x^2+x-12/x^2-8x+15 Thanks... (answered by hehe)
2x^2-2x/8x-9/x-1/8x-9 divide and simplify to the lowest... (answered by lynnlo)
simplify 9x^3+x-2(8x^3-7x) evaluate -9 divided by 3x-x^2+7 for x = -5 -21/50 divided by (answered by jim_thompson5910)
Simplify:... (answered by aaaaaaaa)
Divide and, if possible, simplify {{{ ((x^2-9) / x^2 ) / ( (x^5 + 3x^4) / (x + 2))... (answered by ichudov)
2x^2-2x/8x-9 divided by x-1/8x-9 divide and simplify to the lowest... (answered by lynnlo)
simplify x^2 - 8x plus 7x - 42 ---------------divide---------- x^2 + 12x + (answered by london maths tutor)
Was wondering if someone could help me figure out if they were done correctly. I... (answered by jim_thompson5910)