Question Type 2: Proving starting from the right-hand side Bootcamps

Starting from the right-hand side, prove that $\frac{1}{a} + \frac{1}{b} = \frac{a+b}{ab}$.

Starting from the right-hand side, prove that $(a+b)^2 = a^2 + 2ab + b^2$.

Starting from the right-hand side, prove that $\dfrac{1}{1/a + 1/b} = \dfrac{ab}{a+b}$.

Starting from the right-hand side, prove that $a^m\cdot a^n = a^{m+n}$ where $a\neq 0$ and $m,n$ are integers.