Given expression = \( \Large \frac{2x^{2}+2}{3x^{2}+3+5x} \) On dividing numerator and denominator by x, we get \( \Large \frac{2 \left(x+\frac{1}{x}\right) }{3 \left(x+\frac{1}{x}\right)+5 } = \frac{2 \times 2}{3 \times 2 + 5} = \frac{4}{11} \) [given \( \Large x + \frac{1}{x} \) =2]