(x+1)(x+3) - 5 ( x^2 + 6x + 9 )
= (x+1) ( x+3 ) - 5 ( x+3 ) ^2
= (x+3) ( x+1 - 5(x+3 ) )
= (x+3 ) ( x +1 - 5x - 15 )
= (x + 3 ) ( - 4x - 14 )
3x ^2 + 12x + 12
= 3 ( x ^2 + 4x + 4 ) = 3 ( x + 2 ) ^2
x^2 ( x^2 - 9 ) - 4 ( x ^2 - 9 )
= (x ^2 - 9 ) ( x ^2 - 4)
= ( x^2 - 3 ^2 ) ( x^2 - 2 ^2 )
= (x +3 ) ( x - 3 ) ( x +2 ) ( x-2)