Notice that 2 x 2 + 3 x 2 + 1 = 2 ( x 2 + 1 ) + 1 x 2 + 1 {\displaystyle {\frac {2x^{2}+3}{x^{2}+1}}={\frac {2(x^{2}+1)+1}{x^{2}+1}}} . Now split the fraction to obtain two simpler terms.
