x3+xy-x2y2=x(x2+y-xy2)
X(X2 - X)
X3 + 8= (x+2)(x2-2x+4)
1
x3 + 2x2 - 8x + 5 = 0 x(2x - 8) + 5 = 0
x3-16xx(x2-16)x(x+4)(x-4)...forgot to finish it, sorry.
A "yard" of concrete is 3'x3'x3' or 27 cubic feet.
x3 - 9x = x(x2 - 9) = x(x2 - 32) = x(x - 3)(x + 3)
(X^3-27) divided by (x-3)
If 3x = 81 then x = 27 and 27 cubed = 19683
x3 + 9x2 + 27x + 27 Given the numbers in the equation, we can likely bet on (x + 3) being a factor. Let's try it with artificial division: 3 * 1 = 3 9 - 3 = 6 3 * 6 = 18 27 - 18 = 9 3 * 9 = 27 27 - 27 = 0 Bingo. So let's carry it out in long division:                       x2 + 6x + 9                    _____________________ x + 3 ) x3 + 9x2 + 27x + 27                        x3 + 3x2                                        6x2 + 27x                                        6x2 + 18x                                                                9x + 27                                                                9x + 27                                                                                    0 So we have: x3 + 9x2 + 27x + 27 = (x + 3)(x2 + 6x + 9) Which we can now factor further with relative ease: = (x + 3)(x + 3)(x + 3) = (x + 3)3
30