(20pts) Please help! Sometimes, always, or never true. Prove why

Answer:
Step-by-step explanation:
[tex]LHS = \frac{1}{m^{2}}-\frac{1}{m^{2}+1}\\\\\\=\frac{1*(m^{2}+1)}{m^{2}*(m^{2}+1)}-\frac{1*m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{m^{2}+1- m^{2}}{(m^{2}+1)*m^{2}}\\\\\\=\frac{1}{(m^{2}+1)m^{2}}=RHS[/tex]