1) b² - c² - b + c = ( b - c )( b + c ) - ( b - c ) = ( b - c )( b + c - 1 ) 2) a + b - a² + b² = ( a + b ) - ( a² - b² ) = ( a + b ) - ( a - b )( a + b ) = = ( a + b )( 1 - ( a - b )) = ( a + b )( 1 - a + b ) 3) a² - a - c² + c = ( a² - c² ) - ( a - c ) = ( a - c )( a + c ) - ( a - c ) = = ( a - c )( a + c - 1 ) 4) m - m² - n + n² = ( m - n ) - ( m² - n² ) = ( m - n ) - ( m - n )( m + n ) = = ( m - n )( 1 - ( m + n )) = ( m - n )( 1 - m - n )
2) a + b - a² + b² = ( a + b ) - ( a² - b² ) = ( a + b ) - ( a - b )( a + b ) =
= ( a + b )( 1 - ( a - b )) = ( a + b )( 1 - a + b )
3) a² - a - c² + c = ( a² - c² ) - ( a - c ) = ( a - c )( a + c ) - ( a - c ) =
= ( a - c )( a + c - 1 )
4) m - m² - n + n² = ( m - n ) - ( m² - n² ) = ( m - n ) - ( m - n )( m + n ) =
= ( m - n )( 1 - ( m + n )) = ( m - n )( 1 - m - n )