(3/х-1 - 2/х+1)* 1-x^2/x^2+5x срооочно

Question

(3/х-1 - 2/х+1)* 1-x^2/x^2+5x





срооочно

Answer 1

1) 3/( Х - 1 ) - 2/( Х + 1 ) = ( 3( Х + 1 ) - 2( Х - 1 )) / ( х^2 - 1 ) = ( 3х + 3 - 2х + 2 )/( х^2 - 1 ) = ( Х + 5 ) / ( х^2 - 1 )
2) ( 1 - х^2 ) / ( х^2 + 5х ) = ( - ( х^2 - 1 ) )/( х( Х + 5 ))
3) [ ( Х + 5 )/( х^2 - 1 ) ] • [ ( -( х^2 - 1 )) / ( х( Х + 5 ) ] = - 1 / Х
Ответ - 1 / Х