(x + 2)(x ^2 + 1)
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x3 + 2x2 + 3x + 6 = x2(x + 2) + 3(x + 2) = (x + 2)(x2 + 3)
(x + 2)(x^2+4)
x3 + 8 = x3 + 23 = (x + 2)(x2 + 2x + 22) = (x + 2)(x2 + 2x + 4)
That depends on what the problem is. The expresion alone is not a problem. It's just an expression. Presumably, what you want to do here is to simplify it. We're given: (x - 2) / (x3 - 2x2 + x - 3) Let's start by tring to divide the numerator into the denominator using long division: x2 + 1 (x - 2) x3 - 2x2 + x - 3 x3 - 2x2 0 + x - 3 x - 2 -1 R Since we get a non-zero remainder, we can see that x - 2 is not a factor of the denominator. And in fact, looking further into it, we will find that the denominator can not be factored, and so this problem can not be simplified.
(x-2)(x^2+3)