Answers to the Practice Problems are below in random order.
\(\begin{align}&x^3 + 12 x^2 + 48 x + 64\ & \ \ &1024 x^5 - 3840 x^4 y + 5760 x^3 y^2 - 4320 x^2 y^3 + 1620 x y^4 - 243 y^5\\\\
&- 346104 x^7 y^17\ & \ \ &\text{Various explanations, run through a few expansions of} (10+1)^n\ \text{if you are stuck}\\\\
&f(x)=3 \cos (x) -1\ & \ \ &243 x^5 + 2025 x^4 + 6750 x^3 + 11250 x^2 + 9375 x + 3125\\\\
&a^3 - 9 a^2 b + 27 a b^2 - 27 b^3\ & \ \ &a^9 + 9 a^8 b + 36 a^7 b^2 + 84 a^6 b^3 + 126 a^5 b^4 + 126 a^4 b^5 + 84 a^3 b^6 + 36 a^2 b^7 + 9 a b^8 + b^9\\\\
&1052493750 x^5\ & \ \ &r^3 + 3 r^2 w^2 + 3 r w^4 + w^6\\\\
&x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4\ & \ \ &179.14\\\\
&4375 x^316 x^4 + 32 x^3 + 24 x^2 + 8 x + 1\ & \ \ &16 x^4 + 32 x^3 + 24 x^2 + 8 x + 1\\\\
&515625000\end{align}\)
\(\begin{align}&x^3 + 12 x^2 + 48 x + 64\ & \ \ &1024 x^5 - 3840 x^4 y + 5760 x^3 y^2 - 4320 x^2 y^3 + 1620 x y^4 - 243 y^5\\\\
&- 346104 x^7 y^17\ & \ \ &\text{Various explanations, run through a few expansions of} (10+1)^n\ \text{if you are stuck}\\\\
&f(x)=3 \cos (x) -1\ & \ \ &243 x^5 + 2025 x^4 + 6750 x^3 + 11250 x^2 + 9375 x + 3125\\\\
&a^3 - 9 a^2 b + 27 a b^2 - 27 b^3\ & \ \ &a^9 + 9 a^8 b + 36 a^7 b^2 + 84 a^6 b^3 + 126 a^5 b^4 + 126 a^4 b^5 + 84 a^3 b^6 + 36 a^2 b^7 + 9 a b^8 + b^9\\\\
&1052493750 x^5\ & \ \ &r^3 + 3 r^2 w^2 + 3 r w^4 + w^6\\\\
&x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4\ & \ \ &179.14\\\\
&4375 x^316 x^4 + 32 x^3 + 24 x^2 + 8 x + 1\ & \ \ &16 x^4 + 32 x^3 + 24 x^2 + 8 x + 1\\\\
&515625000\end{align}\)