frac 3p p 2 12 3p div frac 9p - p 3 12 - p - p 2 - SS2 Mathematics Algebraic Fractions Question

\[\frac{3p + p^{2}}{12 + 3p} \div \frac{9p - p^{3}}{12 - p - p^{2}}\]

\[\frac{3p + p^{2}}{12 + 3p} \times \frac{12 - p - p^{2}}{9p - p^{3}}\]

\[\frac{p(3 + p)}{3(4 + p)} \times \frac{(3 - p)(p + 4)}{p(3^{2} - p^{2})}\]

\[\frac{p(3 + p)}{3(4 + p)} \times \frac{(3 - p)(p + 4)}{p(3 - p)(3 + p)}\]

\[\frac{1}{3} \times \frac{1}{1} = \frac{1}{3}\]