Question

221/34 simplifyed........................................

Answer 1

Consider the given expression,

`(3)/(x+1)-(1)/(x-1)-(2x)/(x^2-1)`

Consider the algebraic identity,

`a^2-b^2=(a+b)(a-b)`

Simplify the expression as,

`\begin{gathered} (3)/(x+1)-(1)/(x-1)-(2x)/((x-1)(x+1)) \\ (3(x-1)-1(x+1)-2x(1))/((x-1)(x+1)) \\ (3x-3-x-1-2x)/((x-1)(x+1)) \\ (-4)/((x-1)(x+1)) \\ (-4)/(x^2-1) \end{gathered}`

Thus, the given expression is in simplified form gives,

`(3)/(x+1)-(1)/(x-1)-(2x)/(x^2-1)=(-4)/(x^2-1)`