Question

$\frac{4a ^{2} }{ a^{2}-4 } * \frac{a+2}{2a}$

Answer 1

$..=\frac{4a^2 \cdot (a+2)}{(a-2) \cdot (a+2) \cdot 2a}=\frac{2a}{a-2}$

Answer 2

$\frac{4a ^{2} }{ a^{2}-4 } * \frac{a+2}{2a} = \frac{2a*2a }{ (a-2)(a+2) } * \frac{a+2}{2a} = \frac{2a }{ a-2 } * \frac{1}{1} =\frac{2a }{ a-2 }$