a. = x² + 6x + 9 - 1 = ( x + 3)² - 1² = ( x +3 +1) · ( x +3 -1) =
= ( x + 4) ·( x + 2)
b. = x² -10x + 25 - 1 = ( x -5)² - 1² = ( x -5 - 1) ·( x - 5 + 1)
= ( x -6) ·( x - 4 )
c. = ( 6x)² + 12x + 1 - 16 = ( 6x + 1)² - 4² = ( 6x + 1 + 4)·( 6x + 1 - 4 )
= ( 6x + 5)· ( 6x -3)
d. = ( 2x)² - 12x + 9 - 4 = ( 2x -3)² - 2² =( 2x - 3 -2)· ( 2x - 3 + 2)
= ( 2x - 5)· ( 2x - 1)
e. = ( 2x)² - 4x + 1 - 4 = ( 2x -1) - 2² =( 2x -1 - 2)· ( 2x - 1 + 2)
= ( 2x - 3)· ( 2x + 1)
f. =[ (2x)²]² + 4x² + 1 - 4x² = ( 2x² + 1)² - ( 2x)² =
= ( 2x² + 1 + 2x)· ( 2x² + 1 - 2x)
