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Question

Expand: (x-1)3.


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Solution

Use algebraic identity to simplify given expressions

Given expression: (x-1)3
Using the algebraic identity: (ab)3=a3b33ab(ab)
(x1)3=x3133(x)(1)(x1)
=x313x(x1)=x313x2+3x
Therefore, (x1)3=x33x2+3x1.


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