Try to factorize the numerator, treating x³ as a single unit, so x6 would be (x³)².
You will find common factors between the numerator and denominator.
(x6-12x3+35)/(x3-7)
=(x³-7)(x³-5)/(x³-7)
=x³-5
(x power of 6-12x power of 3+35)divide)x power of 3- 7)
i dunno what to do
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