3x2 - 2y2 = 9x2 + 4y2 - 12xy (subtract 3x2 and add 2y2 to both sides) 0 = 9x2 -3x2 + 4y2 + 2y2 - 12xy 0 = 6x2 + 6y2 - 12xy (divide by 6 to both sides) 0 = x2 + y2 - 12xy or x2 - 2xy + y2 = 0 (x - y)(x - y) = 0 x - y = 0 x = y
x + 4
x2 + 5x - 120 can not be factored.
x2 + 8x + 15 = (x + 3) (x + 5).
(x2 plus 40) (x minus 1)
3x2 - 2y2 = 9x2 + 4y2 - 12xy (subtract 3x2 and add 2y2 to both sides) 0 = 9x2 -3x2 + 4y2 + 2y2 - 12xy 0 = 6x2 + 6y2 - 12xy (divide by 6 to both sides) 0 = x2 + y2 - 12xy or x2 - 2xy + y2 = 0 (x - y)(x - y) = 0 x - y = 0 x = y
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
x + 4
x2(x3 + 1) is the best you can do there.
Factor x2 plus 12xp plus 36p2 is (x+6p)(x+6p).
You can't factor it
That does not factor neatly.
Not factorable
1
x2+10x-336
x2 + 5x - 120 can not be factored.
x2 - 13 + 30 = x2 + 17, which has no real factors.