SOLUTION: My worksheet tells me to do the following problem: "perform the indicated operation. 8 over 9-a^2 divided by 4a^2-4a-24 over a^2-6a+9." But I was sick the day we went over this in

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: My worksheet tells me to do the following problem: "perform the indicated operation. 8 over 9-a^2 divided by 4a^2-4a-24 over a^2-6a+9." But I was sick the day we went over this in       Log On


   

Question 739241: My worksheet tells me to do the following problem: "perform the indicated operation. 8 over 9-a^2 divided by 4a^2-4a-24 over a^2-6a+9." But I was sick the day we went over this in class and have no idea where to start or even how to do the problem. Please help, and thank you in advance.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
"perform the indicated operation. 8 over 9-a^2 divided by 4a^2-4a-24 over a^2-6a+9."
8%2F%28%289-a%5E2%29%29
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%28%284a%5E2-4a-24%29%29%2F%28%28a%5E2-6a%2B9%29%29
the rule for dividing fraction, "Invert the dividing fraction and multiply"
8%2F%28%289-a%5E2%29%29 * %28%28a%5E2-6a%2B9%29%29%2F%28%284a%5E2-4a-24%29%29
Factor
8%2F%28%283-a%29%283%2Ba%29%29 * %28%28a-3%29%28a-3%29%29%2F%284%28a%5E2-a-6%29%29
Factor the 2nd denominator again
8%2F%28%283-a%29%282%2Ba%29%29 * %28%28a-3%29%28a-3%29%29%2F%284%28a-3%29%28a%2B2%29%29
CAncel: 4,(a-3)
2%2F%28%283-a%29%283%2Ba%29%29 * %28%28a-3%29%29%2F%28%28a%2B2%29%29
note the first factor in the first denominator, factor out -1
2%2F%28-1%28a-3%29%28a%2B3%29%29 * %28%28a-3%29%29%2F%28%28a%2B2%29%29
now we can factor out (x-3) again
2%2F%28-1%28a%2B3%29%29 * 1%2F%28%28a%2B2%29%29 = -2%2F%28%28a%2B3%29%28a%2B2%29%29; the -1 changes the sign
:
A lot of steps to follow here, remember the rules, give it try. I hope you are feeling better now. C