+2446 Expand the binomials on the left-hand side of the equation and simplify:
| (a−1)3=a3−3a2+3a−1(a−1)2=a2−2a+1 | Let's put this together into one cohesive expression. |
| a3−3a2+3a−1+a2−2a+1 | Combine like terms. |
| a3−2a2+a | Factor out an a . |
| a(a2−2a+1) | The trinomial is indeed factorable and happens to factor into a perfect square. |
| a(a−1)(a−1) | |
| a(a−1)2 | |
