4x2 + 8x + 4 = 4 (x2 + 2x + 1) = 4 (x + 1)2
(6x - 3)(x + 5) which becomes 3.(2x - 1)(x + 5)
(x - 1)(x + 3) Think of 2 numbers which added together give +2 and which multiplied together give -3
If that's -5, the answer is (x - 1)(3x + 5) If that's +5, it gets ugly in a hurry.
x2+2x-63 = (x-7)(x+9) when factored
x(x + 2)
2x(x^2+x-6)
(x + 1)(2x + 5)
(2x + 1)(x + 2)
(2x - 3)(x + 2)
8
2x2 + 6xy = 2x (x + 3y)
(2x+3)(x+3)
Factor it out: (x+2) squared
(x - 1)(2x - 9)
(x - 2)(2x + 7)
(2x-3)(x-1)