Functions, 2ADV EQ-Bank 05 Simplify \(\dfrac{p+1}{q-q^3} \ ÷ \ \dfrac{p^3+p^2}{q^2-q}\). (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\dfrac{1}{p^2(1+q)}\) Show Worked Solution \(\dfrac{p+1}{q-q^3} \ ÷ \ \dfrac{p^3+p^2}{q^2-q}\) \(=\dfrac{p+1}{q\left(1-q^2\right)} \times \dfrac{q\left(1-q\right)}{p^2(p+1)}\) \(=\dfrac{(1-q)}{(1+q)(1-q) p^2}\) \(=\dfrac{1}{p^2(1+q)}\)