Question

Упростите: 3x/x-4 - 6x/x^2-8x+16

Answer 1

Х²-8х+16=(х-4)²; 3х/х-4 - 6х/(х-4)²=(3х(х-4)-6х)/(х-4)²=(3х²-12х-6х)/(х-4)²=3х(х-6)/(х-4)²

Answer 2

Общий знаменатель x^2 - 8x + 16 = ( x - 4)( x - 4 )
( 3x( x - 4) - 6x ) / ( x^2 - 8x + 16 ) = ( 3x^2 - 12x - 6x ) / ( x^2 - 8x + 16 ) = ( 3x^2 - 18x ) / ( x^2 - 8x + 16 )