Ответ:
Пошаговое объяснение:
1 ) а ) ( 3 - 2а )/2а - ( 1 - а² )/а² = 3/2а - 2а/2а - 1/а² +а²/а² = 3/2а -1/а² = ( 3а - 2 )/2а² ;
б ) 1/( 2a - b ) - 1/( 2a + b ) = ( 2a + b -2a + b )/(2a - b )( 2a + b ) = 2b/( 4a² - b² ) ;
в ) ( 4 - 3b )/( b² - 2b ) + 3/( b - 2 ) = ( 4 - 3b + 3b )/b( b - 2 ) = 4/b( b - 2 ) .
2 ) 3/( x - 3 ) - ( x + 15 )/( x² - 9 ) - 2/x = - 6/x( x +3 ) .
1) 3/(x - 3 ) - 2/x = ( 3x - 2x + 6 )/x( x - 3 ) = ( x + 6 )/x( x - 3 ) ;
2) ( x + 6 )/x( x - 3 ) - ( x + 15 )/( x² - 9 ) = [ ( x + 6 )( x + 3 ) - x( x + 15 )]/x( x² - 9 ) =
= ( x² + 3x + 6x + 18 - x² - 15x )/x( x² - 9 ) = ( - 6x + 18 )/x( x² - 9 ) = - 6( x - 3 )/x( x² - 9 ) =
= - 6/x( x + 3 ) .
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Ответ:
Пошаговое объяснение:
1 ) а ) ( 3 - 2а )/2а - ( 1 - а² )/а² = 3/2а - 2а/2а - 1/а² +а²/а² = 3/2а -1/а² = ( 3а - 2 )/2а² ;
б ) 1/( 2a - b ) - 1/( 2a + b ) = ( 2a + b -2a + b )/(2a - b )( 2a + b ) = 2b/( 4a² - b² ) ;
в ) ( 4 - 3b )/( b² - 2b ) + 3/( b - 2 ) = ( 4 - 3b + 3b )/b( b - 2 ) = 4/b( b - 2 ) .
2 ) 3/( x - 3 ) - ( x + 15 )/( x² - 9 ) - 2/x = - 6/x( x +3 ) .
1) 3/(x - 3 ) - 2/x = ( 3x - 2x + 6 )/x( x - 3 ) = ( x + 6 )/x( x - 3 ) ;
2) ( x + 6 )/x( x - 3 ) - ( x + 15 )/( x² - 9 ) = [ ( x + 6 )( x + 3 ) - x( x + 15 )]/x( x² - 9 ) =
= ( x² + 3x + 6x + 18 - x² - 15x )/x( x² - 9 ) = ( - 6x + 18 )/x( x² - 9 ) = - 6( x - 3 )/x( x² - 9 ) =
= - 6/x( x + 3 ) .