i'm studying for a test on rational expressions and i just wanted to know the answers to some of the problems i am not too sure about...

1... 4y-2/8y-2.. i got 1/2 which restriction of 1/2
2...(x-3/3x-5)/3-x/6x-10.. i got 4 with restrictions of 3 and 5/3
3...3a+6/2a^2+7a+6..1/2a with restrictions of -3/2 and -2

please help:D

1 answer

I disagree with all 3 of your answers

1. (4y-2)/(8y-2)
= 2(2y-1)/((2(4y-1))
= (2y-1)/(4y-1)

2. x-3)/3x-5)/3-x/6x-10
this is not clear, do you mean
(x-3/3x-5)/((3-x)(6x-10)) ?
then
(x-3)/(3x-5)*(6x-10/(3-x)
= (x-3)/(3x-5)*2(3x-5)/(-x)
= -2 , x not equal to 3 and 5/3

3. 3a+6/2a^2+7a+6
= 3(a+2)/((a+2)(2a+3)
= 3/(2a+3) x not equal to -2,-3/2