Which of the following expressions is equivalent to x^3+1 / x+1 for all x ≠ -1?
a.x^2
b.X^2 + 1
c.x^2 -x +1
d.x^2 + x
I know the answer isn't b; I just don't know why.
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a.x^2
b.X^2 + 1
c.x^2 -x +1
d.x^2 + x
I know the answer isn't b; I just don't know why.
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Verified answer
Take the sum of two cubes:
(x + 1)(x^2 - x + 1) / (x + 1)
Simplify:
x^2 - x + 1
c.x^2 -x +1
C