Difference between two phase method and big M

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I am searching for differences between two phases and big M method for finding the solution for a linear problem with simplex method. Also I realized that two phases method is algebraically more easier than big M method and as you see here, the two phase method breaks off big M function in two parts, first the real coefficients and second coefficients the the M's amount. But I cant find any right answer for my question:" Why two phases method is algebraically more easier than big M method?" I have just an intuitive answer and not any thing else...

Thanks for your help.