Simplfy 2x1 5x2 xx1x1 middot 1x Solution1 2 x1 5 x2 Takin

Simplfy: 2/x-1 - 5/x+2 x(x+1)/x-1 middot (1-x)

1 ) 2/( x-1) - 5/( x+2)

Taking (x-1)(x+2) as common denominator:

{2( x+2) -5 ( x -1)}/( x-1)( x+2)

{ 2x +4 -5x +5}/( x-1)( x+2)

( -3x +9)/( x-1)( x+2)

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

2 ) {x( x+1)/( x-1)}* {(1-x)/4x }

= x(x+1)*(- (x-1)/( (x-1)4x)

= -(x+1)/4 ( common terms ( x-1) , x in numerator and denominator get cancelled)