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![If A and B commute with their commutator then prove that exp(A)exp(B) = exp{A + B + 1/2[A, B]}](https://i.ytimg.com/vi/2rCEVbLz6YQ/hq720.jpg?sqp=-oaymwE9COgCEMoBSFryq4qpAy8IARUAAAAAGAElAADIQj0AgKJDeAHwAQH4AdQGgALgA4oCDAgAEAEYRCBRKHIwDw==&rs=AOn4CLBI0J2XVb2HTUYWZm4zUEqxGQEANw)
If A and B commute with their commutator then prove that exp(A)exp(B) = exp{A + B + 1/2[A, B]}