d, ( 4x - 2 )² - ( 4x + 2 )( 2 - 4x )
= [ ( 4x )² - 2 . 4x . 2 + 2² ] - ( 2 + 4x )( 2 - 4x )
= ( 16x² - 16x + 4 ) - [ 2² - ( 4x )² ]
= 16x² - 16x + 4 - ( 4 - 16x² )
= 16x² - 16x + 4 - 4 + 16x²
= ( 16x² + 16x² ) - 16x + ( 4 - 4 )
= 32x² - 16x.
e, ( x - 2 )³ - ( x - 2 )( x² + 2x + 4 ) - 16
= ( x - 2 )³ - ( x³ - 2³ ) - 16
= x³ - 3.x². 2 + 3.x. 2² - 2³ - x³ + 8 - 16
= x³ - 6x² + 12x - 8 - x³ + 8 - 16
= ( x³ - x³ ) - 6x² + 12x - ( 8 - 8 - 16 )
= -6x² + 12x + 16.
