Provide an Appropriate Answer

Essay

Provide an appropriate answer.
- $$\text { Let } A = \left[ \begin{array} { r r } - 1 & 3 \\- 3 & - 3\end{array} \right] \text { and } B = \left[ \begin{array} { r r } - 3 & 3 \\4 & - 4\end{array} \right] \text {. Show that } A ( A + B ) = A ^ { 2 } + A B \text {. Show all your work. }$$