## mitchelsewbaran 2 years ago What is the simplified form of the equation below?

1. yummydum

i look below i no see equation o.o

2. mitchelsewbaran

hold on!

3. yummydum

HOLDING ON!! D:

4. mitchelsewbaran

5. yummydum

dividing a fraction by a fraction is the same as multiplying a fraction by the reciprocal of another fraction...like this: $\huge{{a\over b}\over{c\over d}}~~~~~\implies~~~~~{{a\over b}\times{d\over c}}$

6. yummydum

so in your case its:$\huge{{12x\over x^2+6x+9}\over{4x^2\over x^2-9}}~~~~~\implies~~~~~{{12x\over x^2+6x+9}\times{x^2-9\over4x^2}}$ so now just cross multiply

7. mitchelsewbaran

8. mitchelsewbaran

so it's the 4th one?

9. yummydum

one sec :)

10. yummydum

$\large{{12x\over x^2+6x+9}\times{x^2-9\over4x^2}}~~~~~\implies~~~~{{12x\times(x^2-9)}\over{x^2+6x+9\times (4x^2)}}$sorry i wrote that wrong...this gives you:$\large{12x^3-108x\over 4x^4+24x^3+36x^2}$simpllify that

11. mitchelsewbaran

i simplified it. it's the 2nd one

12. yummydum

yup! :D

13. mitchelsewbaran

thnx, bro!

14. yummydum

no problem!