Divide 63(p4 + 5p3 – 24p2 ) by 9p(p + 8)

We have,

\frac{63(p^4 + 5p^3 - 24p^2)}{ 9p(p + 8)}

=\frac{63p^2(p^2 + 5p - 24)}{9p(p + 8}

=\frac{7p(p^2 + 5p - 24)}{(p + 8)}

Splitting the middle term, we get

=\frac{7p(p^2 + 8p-3p - 24)}{(p + 8)}

=7p[\frac{p(p+8)-3(p+8)}{(p+8)} ]

=7p[\frac{(p+8)(p-3)}{p+8}]

=7p(p-3)

Hence the solution is 7p(p-3).