Read a book about physics - Foundation AS3 Animation Making Things Move

and there is the equation i can not prove.

why

(m0 * v0) + (m1 * v1) = (m0 * v0F) + (m1 * v1F)

(m0 * v0^2) + (m1 * v1^2) = (m0 * v0F^2) + (m1 * v1F^2)

can get

v0F=((m0-m1)*v0+2*m1*v1)/(m0+m1)

v1F=((m1-m0)*v0+2*m0*v0)/(m0+m1)

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