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this is really confusing

 Sep 29, 2018
 #1
avatar+2345 
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Expand the binomials on the left-hand side of the equation and simplify:
 

\((a-1)^3=a^3-3a^2+3a-1\\ (a-1)^2=a^2-2a+1\) Let's put this together into one cohesive expression.
\(a^3-3a^2+3a-1+a^2-2a+1\) Combine like terms. 
\(a^3-2a^2+a\) Factor out an a .
\(a(a^2-2a+1)\) The trinomial is indeed factorable and happens to factor into a perfect square.
\(a(a-1)(a-1)\)  
\(a(a-1)^2\)  
   
 Sep 29, 2018

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