i am very confused on this, how do you get 36(x^2 -1)/(x^2 + 3)^3 from simplifying the top? i divided the numerator and denominators and got -12 + 48x^2 /(x^2+3) which is different from the answer; can someone please explain it clearly
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If you divide the top and the bottom by $\displaystyle *x^2 +3 $*then you get $\displaystyle \frac{-12(x^2+3)+48x^2}{(x^2 +3)^3} \frac{-12x^2-36)+48x^2}{(x^2 +3)^3} = \frac{36(x^2-1)}{(x^2 +3)^3} $
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