Ответ:
Объяснение:
1 . a ) ( 4a + 7 )/( a² - 4 ) - ( 3a + 5 )/( a² - 4 ) = [ 4a + 7 - ( 3a + 5)]/( a² - 4 ) =
= ( 4a + 7 - 3a - 5)/( a² - 4 ) = ( a + 2 )/( a² - 4 ) = 1/( a - 2 ) ;
б ) ( с²+ 17c )/( 16 - c² ) + ( 16 - 9c )/( 16 - c² ) =( c² + 17c +16 -9c)/( 16 - c² ) =
= ( c² + 8c + 16 )/( 16 - c² ) = ( c + 4 )²/( 16 - c² ) = ( c + 4 )/( 4 - c ) .
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Ответ:
Объяснение:
1 . a ) ( 4a + 7 )/( a² - 4 ) - ( 3a + 5 )/( a² - 4 ) = [ 4a + 7 - ( 3a + 5)]/( a² - 4 ) =
= ( 4a + 7 - 3a - 5)/( a² - 4 ) = ( a + 2 )/( a² - 4 ) = 1/( a - 2 ) ;
б ) ( с²+ 17c )/( 16 - c² ) + ( 16 - 9c )/( 16 - c² ) =( c² + 17c +16 -9c)/( 16 - c² ) =
= ( c² + 8c + 16 )/( 16 - c² ) = ( c + 4 )²/( 16 - c² ) = ( c + 4 )/( 4 - c ) .