Question

I need help understanding how to add and subtract rational expressions. Can someone please help me?

Answer 1

Can u give me an example? i'll help u

Answer 2

Probably by taking LCM

Answer 3

\[\frac{ x+1 }{ x-1 }+\frac{ -2 }{ x^2-x }\]

Answer 4

Notice that you can factor the denominator of the 2nd fraction as \(x^2-x=x(x-1)\)

Now you have:
\[\frac{ x+1 }{ x-1 }+\frac{ -2 }{ x(x-1) }\]
If you want to add fractions, they must be on the same denominator... so you can so that by multiplying by \(\large \frac{x}{x}\) to the first fraction:

\[\frac{ x+1 }{ x-1 }\frac{x}{x}+\frac{ -2 }{ x(x-1) } \\ ~ \\
=\frac{ x(x+1) }{ x(x-1) }+\frac{ -2 }{ x(x-1) } \\ ~ \\ =\frac{x(x+1)-2}{x(x-1)}\]

Answer 5

you can do that*

Answer 6

Thanks I think i got it know.

Answer 7

now*