I've gone through my notes and I can't find any to help me solve the following, could anyone help me please?
1. Multiply:
(n+6)^{3}
Do you do n^{3}+216?
2. Factor:
x^{3}+125
3. Factor:
16a^{4}-1
1. Absolutely not. Either write it out in full as $\displaystyle \displaystyle \begin{align*} (n + 6)(n + 6)(n + 6) \end{align*}$ and expand, or apply $\displaystyle \displaystyle \begin{align*} (a + b)^3 = a^3 + 3a^2b + 3a\,b^2 + b^3 \end{align*}$.
2. Apply the sum of two cubes rule.
3. Write it as $\displaystyle \displaystyle \begin{align*} \left(4a^2\right)^2 - 1^2 \end{align*}$ and apply the Difference of Two Squares rule.