Question

Help with simplifying a complex fraction please...question is below thanks

Answer 1

\[(\frac{ 3a+b }{ 2a-b} - \frac{3a-b }{2a+b}) \div \frac{ 2a }{4a ^{2} - b ^{2}}\]

Answer 2

I'd clear fractions of the neumerator first

Answer 3

would you mind working it out for me so that i can check my work...i didn't get the correct answer

Answer 4

haha, this is will be long, only because it is on the computer so... i'm gonna skip steps, but you'll get the big idea ^_^ and maybe even see where you went wrong

Answer 5

i got 4a^2b^2 - b^2 /a

Answer 6

thaks so much...i'd really appreciate it :)

Answer 7

haha, this is a really long question to post up because of all the fractions...
the answer is suppose to be 5b, fyi

so the first step is to clear the fraction in the denominator, so mutliply the top part by (4a^2 - b^2)

now we change the 4a^2 part into (2a)^2, thus becoming ( (2a)^2 - b^2)

Answer 8

then we break up ( (2a)^2 - b^2) into (2a + b) (2a - b)

Answer 9

oh ok, i worked it out differently because i worked out the numerator then multiplied by the denominator

Answer 10

ya, thats what I did at first too, even suggested, but this way is a bit easier

Answer 11

the next thing u wanna do is get a common denominator for the two fractions that are in the neumerator were at the start of the problem

Answer 12

thanks so much for explaining...but i've never done it that way so am having a hard time following what you're doing

Answer 13

when you worked out just the numerator what did you get?

Answer 14

I think i messed up....

Answer 15

oh no, i just got 5b

Answer 16

oh, haha wait wait, yaya, thats right ^_^

Answer 17

I thought I had my 5ab + 5ab = 5ab..
ya 5b becuase we had 10ab/2a

Answer 18

thanks so much for your help, i appreciate it :)

Answer 19

ur welcome
It was a challenge, haha

Answer 20

i tend to make the simplest mistakes with these problems

Answer 21

me too!

Answer 22

thanks again!