Verify that 1/sqrt(1-(v^2)/(c^2)) = 1 + p^2/[(m^2)(c^2)]

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OK, so on the right side I changed p^2 into (m^2)(v^2) and cancelled out the m^2 in the numerator and denominator. This leaves me with:

1 + (v^2)/(c^2) = 1/sqrt(1-(v^2)/(c^2))

This seems tantalizingly close, but I have no clue what to do next.

Any guidance would be appreciated.

Yes, this is a homework problem, but homework isn't turned in. I'd still like to know how to do it though.

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By the way, how do you guys type math? I'd like to make it more readable.