F.2 Maths-Cross method Q

3xy-3x^2+6y^2
6y^2+3xy-3x^2
3(2y^2+xy-x^2)
3(2y-x)(y-x)
______________
(6x-3y/10x^2+xy-3y^2 )X (5x^2+8xy+3y^2)
3(2x-y)/(5x+3y)(2x-y)*(5x+3y)(x+y)
3(x+y)
____________________

a^6k^6-1
(a^3k^3+1)(a^3k^3-1)
(ak+1)(a^2k^2-ak+1)(ak-1)(a^2k^2+ak+1)

2010-09-30 18:00:46 補充：
To 001,
You can further factorize...........

2010-09-30 20:44:34 補充：
Correction
-3x^2 + 3xy + 6y^2
3(2y^2+xy-x^2)
3(2y-x)(y+x)
______________

1. -3x^2 + 3xy + 6y^2

= (-3x-3y)(x-2y)
= -3(x+y)(x-2y)

2. 6x-3y/10x^2+xy-3y^2 X (5x^2+8xy+3y^2)

= 3(2x-y) / (5x+3y)(2x-y) X (5x+3y)(x+y)
= 3 / (5x+3y) X (5x+3y)(x+y)
= 3(x+y)

a^6k^6-1
= (a^3k^3+1) (a^3k^3-1)