While it is possible to factor 3x2 from both of these and get 3x2(4 - 1), it's a lot easier to subtract 3x2 from 12x2 and get 9x2
factor out a 3x 3x(x-3)=3x2-9x
3x2 + 2x - 8 = 3x2 + 6x - 4x - 8 = 3x(x+2) - 4(x+2) = (3x-4)*(x+2)
7(y + 4)
3x2 + 6x is ONE expression. A common factor is a factor that is COMMON to two (or more) expressions - not just one. An alternative answer: 3x can be factored out of both of those.
3x2-y=6 3x2-y=6
(3x - 5)(x + 3)
(x2 - 2)(y - 3)
(3x + 3y)(x + y) or 3(x + y)2
(sqrt(3)x-sqrt(3)y)(sqrt(3)x+sqrt(3)y)
3(0)^2+7(x)-12 = -12
While it is possible to factor 3x2 from both of these and get 3x2(4 - 1), it's a lot easier to subtract 3x2 from 12x2 and get 9x2
factor out a 3x 3x(x-3)=3x2-9x
Let y = x3 - 8, then y' = 3x2 + 0 = 3x2.
3x2 + 2x - 8 = 3x2 + 6x - 4x - 8 = 3x(x+2) - 4(x+2) = (3x-4)*(x+2)
the answer is 3x2
-8x + 3x2 - 3