Q31 Prep 3 Algebra Question Bank

a) Prove that \( n_1 = n_2 \):

\[ n_1(X) = \frac{X^3 + X}{X^3 + X^2 + X + 1} \]

\[ n_2(X) = \frac{X}{X + 1} \]

MR/Nasef.N

After simplifying both domain and functions are equals, we find that both functions equal \( \frac{X}{X + 1} \)