SOLUTION: a^-2 + a -------- a + 1 complex fraction, answer is a^2 - a+1 --------- a^2 but i do not get this answer

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Question 376004: a^-2 + a
--------
a + 1
complex fraction, answer is
a^2 - a+1
---------
a^2
but i do not get this answer
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

(a^-2 + a) / a + 1



(1 + a^3) / a^2(a + 1) Multiplying numerator and denominator by a^2



(a^3 +1) / a^2(a + 1)



(a +1)(a^2 -a +1) / a^2(a + 1) factoring out (a+1) in the numerator



(a^2 -a +1) / a^2  Simplifying