Ответ: 14/( c - 4 ) .
Объяснение:
9 . ( 13c + 7 )/( c² - 16 ) - ( 7c + 31 )/( 16 - c² ) + ( 18 - 6c )/( c² - 16 ) =
= ( 13c + 7 )/( c² - 16 ) + ( 7c + 31 )/( c² - 16 ) + ( 18 - 6c )/( c² - 16 ) =
= ( 13c + 7 + 7c + 31 + 18 - 6c )/( c² - 16 ) = ( 14c + 56 )/( c² - 16 ) =
= 14( c + 4 )/[ ( c - 4 )*( c + 4 ) ] = 14/( c - 4 ) .
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Ответ: 14/( c - 4 ) .
Объяснение:
9 . ( 13c + 7 )/( c² - 16 ) - ( 7c + 31 )/( 16 - c² ) + ( 18 - 6c )/( c² - 16 ) =
= ( 13c + 7 )/( c² - 16 ) + ( 7c + 31 )/( c² - 16 ) + ( 18 - 6c )/( c² - 16 ) =
= ( 13c + 7 + 7c + 31 + 18 - 6c )/( c² - 16 ) = ( 14c + 56 )/( c² - 16 ) =
= 14( c + 4 )/[ ( c - 4 )*( c + 4 ) ] = 14/( c - 4 ) .