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Simplifying Expressions

Please show how

((n/s^2)((t-x)^2))+((1/v^2)(t-m)^2)
= ((1/v1^2)(t-m1)^2)+((n/(s^2+n*v^2))(x-m)^2)

where
v1^2 = (s^2*v^2)/(s^2+nv^2)

and m1 = (s^2m + n*(v^2)x)/((s^2)+nv^2)

every single step is not necessary just the important ones.

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