( n - 6 )( 2n + 3 ) - ( n - 7 )² - ( 2 + n )( n - 2 )
Expand each term:
= 2n² + 3n - 12n - 18 - n² + 14n - 49 - 2n + n² - 4 - 2n
Combine like terms:
= 2n² + 3n - 12n - 18 - n² + 14n - 49 - 2n + n² - 4 - 2n= 2n² - 27n - 18 - 49 - 4= 2n² - 27n - 71
So, ( n - 6 )( 2n + 3 ) - ( n - 7 )² - ( 2 + n )( n - 2 ) simplifies to 2n² - 27n - 71.
( n - 6 )( 2n + 3 ) - ( n - 7 )² - ( 2 + n )( n - 2 )
Expand each term:
= 2n² + 3n - 12n - 18 - n² + 14n - 49 - 2n + n² - 4 - 2n
Combine like terms:
= 2n² + 3n - 12n - 18 - n² + 14n - 49 - 2n + n² - 4 - 2n
= 2n² - 27n - 18 - 49 - 4
= 2n² - 27n - 71
So, ( n - 6 )( 2n + 3 ) - ( n - 7 )² - ( 2 + n )( n - 2 ) simplifies to 2n² - 27n - 71.