Question

The problem is… 8X^4/25-9x^2• 3X^2- 8X+5/x^2-1~4x^3/x^2+2x+1
NOTE: I used~ to equal a division symbol

So I did 2x/-(3x-5)(5+3x)•3x(x-1)-5(x-1)/(x-1)(x+1)•(x+1)^2

2x/-(3x-5)(5+3x)•(x-1)(3x-5)/(x-1)(x+1)•(x+1)^2

2x/5+3x•-1(x+1)

-2x^2+2x/5+3x
Is this correct? Thank you for checking my work

Answer 1

Your use of upper- and lower-case X and weird symbols, combined with the lack of parentheses makes things very confusing and ambiguous.
Now, even though the formatting is garbled, you seem to be doing things right, till the last line, where you had
2x/5+3x•-1(x+1)
(-2x^2+2x)/(5+3x)
since you failed to distribute the - sign in 2x•-1(x+1) = 2x(-x-1) = -2x^2-2x
So, the final answer was
(-2x^2-2x)/(5+3x)
or, I would left it as
-2x(x+1)/(3x+5)
or
(-2x^2-2x)/(3x+5)

Answer 2

Thank you for your help.