Question 82488
The given expression is:   


y = {{{(x - 1)^2 (x - 3)^3}}} 


{{{(x - 1)^2}}} = {{{x^2 - 2x + 1}}}  


{{{(x - 3)^3}}} = {{{x^3 - 27 - 9x^2 + 27x}}} 


The RHS(right hand side) can be simplied as follows: 



y = {{{(x^2 - 2x + 1)(x^3 - 27 - 9x^2 + 27x)}}} 



Multiplying terms, we get: 



y = {{{ (x^5 - 27x^2 - 9x^4 + 27x^3 + x^3 - 27 - 9x^2 + 27x -  2x^4 + 54x + 18x^3 - 54x^2)}}} 


y =  {{{ x^5 - 11x^4 + 46x^3 - 90x^2 + 27x - 27 }}} 


Hence, the solution.